In perambulating the city of New York, its appearance is prepossessing to a visitor; the streets are well laid out, and are wide and regular, the houses being for the most part of the better class. The white or red paint (the latter predominates), and the green and white jalousie, venetian, and siesta blinds, giving a picturesqueness to the scene. Handsome mats lie outside the doors of many of the better description of houses.

Broadway is the principal place of attraction in New York, but it has so often been described by visitors, that it is a work of supererogation to comment much upon it here; as, however, every tourist can see and describe differently the same objects, I must not pass it in silence, especially as it ranks in the view of the New Yorkers, something as Bond-street and Regent-street do in the metropolis of England. It is, however, far inferior to these; it is not one, but a continuous line of streets, and, including Canal-street, extends about three miles in length. The Haarlem Railway comes down a considerable portion of the upper part, the rails being laid in the centre of the street The lower end of Broadway merges into the Battery Park, which is situated at the water's edge. In Broadway are to be seen magnificent hotels, theatres, magazines-de-mode, and all the etceteras of a fashionable mart, not omitting to mention crowds of elegantly dressed ladies and exquisitely attired gentlemen, including many of colour; the latter appearing in the extreme of the fashion, with a redundancy of jewellery which, contrasting with their sable colour, produces to the eye of a stranger an unseemly effect. The shops and stores are fitted up in the Parisian style, appear well attended by customers, and are crowded with the choicest description of goods.

Astor's Hotel, built by the so-called millionaire of that name, is a large but rather heavy-looking pile of building, and forms a conspicuous object in the park. Here many of the élite from the provinces sojourn on visiting the city. The accommodations are stated to be of the first order, and, from a cursory inspection, I should imagine this to be true, the only drawback being the enormous prices charged, exceeding, I was told, the ordinary run of first-class houses of that description. Noticing from the opposite side of the street that the entrance was much crowded, curiosity led me to cross over and ascend the steps and listen to what was going on, supposing it some political demonstration; in this, however, I was mistaken, for I found that the cause of the commotion was the recent arrival and presence of the celebrated statesman and lawyer, Daniel Webster, en route to Washington, whither he was called by Congressional duties. I pressed forward to shake hands with this great expounder of American laws, as he is called by the citizens, who seemed, by the way, on the occasion I refer to, to regard him as a sort of divinity. I could not, however, succeed in getting near enough to accomplish my object, although I strove hard for it. It was quite amusing to see the anxiety shown by some of those present to effect the same purpose. The senator kept shaking hands with all around, repeating over and over again, "Glad to see you, citizens, glad to see you." Amongst others, a gentlemanly-dressed negro with a gold-headed cane pressed forward and held out his hand. There was, however, no chance for him in the throng, for he was rudely pushed back, and I heard several angry exclamations of disapprobation from the crowd, at the liberty he had taken, one individual in particular crying out, "Kick that nigger off, what has he to do here." These exclamations caught the ear of the negro gentleman, and he shrunk back in an instant, as if electrified. Mr. Webster was a yeoman-like looking person, of rather a muscular-build, and at one time of life was, no doubt, as I have heard, possessed of great physical powers; he had a heavy and rather downcast turn of features, which were not improved by a pair of enormous black eyebrows; there was, however, an expression in his physiognomy that indicated deep thought, and a degree of intelligence above the mediocrity. In addition to this, there was also a pleasing urbanity in his manner that was certainly contrary to what might have been expected from his personal appearance and known burly character in business. He gradually retreated up the steps towards the interior of the hotel, the excessive attentions paid by the crowd appearing troublesome to him. He was closely followed, however, by his admirers, whose boisterous behaviour savoured much more of enthusiasm than deference or politeness. I had heard that the Americans profess never to do things by halves, and so set this instance down as a proof of their propensity to "go the whole hog," as they are wont to term their extremes and eccentricities.

The Town-hall, situate at the base of the Park, which is a triangular piece of land, well laid out and neatly kept, is a light edifice of some taste and architectural merit, its chief attraction being the white marble of which it is constructed, and which is brought from the quarries at Sing-Sing, some miles up the river Hudson. The effect, however, is not good; its exposure to the elements having given it a blurred or chalky appearance. It is surmounted by a small but elevated cupola, constructed of wood, which some time ago, I was informed by a citizen, caught fire at a pyrotechnic exhibition, and endangered the whole edifice, since which, displays of fire-works have been prohibited in the Park by the civic authorities. At the entrance there is a spacious vestibule, but this, as well as the interior, though elegant in its simplicity of style, is meagre of ornament. Proceeding to the interior, I reached the criminal court, where a squalid-looking prisoner was undergoing trial for murder. The judges and officers of the court were almost entirely without insignia of office, and the counsel employed, I thought, evinced much tact in their proceedings, especially in the cross-examination of witnesses, although they manifested great acerbity of feeling towards each other, and their acrimonious remarks would not, I imagine, have been allowed to pass without remonstrance in an English court of justice. I was told by a by-stander, with whom I entered into conversation, that if found guilty, the prisoner would be conducted to an underground apartment used for the purpose, and privately executed, the law of the State of New York, from motives that ought to be appreciated in England, prohibiting public executions. It is also customary there to allow criminals more time than in England, to prepare for the awful change they are doomed to undergo.

I was informed by a friend that there are some very astute lawyers in America, and I subsequently had opportunities to test the accuracy of the remark. Their code, however, differs materially from the English, although professing to be based upon its principles; and has the preeminent advantage of being pretty free from the intricacies and incongruities that so often tend to defeat justice in the mother-country, and render proceedings at law so expensive and perplexing. The slave laws (called the "codenoir"), adapted for the Southern States, must, however, be excepted, for it is notorious, that to subserve the ends of interested parties, they have been framed so as to present what may with propriety be termed a concatenation of entanglement and injustice to the slave subjects; the very wording of many of these enactments, carrying unmistakable evidence of their being concocted for the almost sole protection of the slave-owners.

Adjoining the Town-hall, or separated only by an avenue, is a heavy, monastic-looking building, used as a bridewell, and called the City Penitentiary. Having remained a considerable time in the hall where the trial was going on, the agonized state of the prisoner and sickening details of the murder caused a disinclination for the present to continue my perambulations, so I stepped into the Café de l'Independence, in Broadway, and called for a port-wine sangaree, endeavouring, while I sipped it, smoked a cigar, and read the Courier and Inquirer, to forget the scene I had just witnessed. Leaving soon after, I pursued my way down Broadway, passing Peel's Museum and the Astor House, to the Battery Marine Promenade. This is a delightful spot, the finest in point of situation (although not in extent) of the kind I ever saw, the Esplanade at Charleston in South Carolina, of which I shall have by-and-by to speak more particularly, being excepted.

Ladies and gentlemen were promenading up and down, under the umbrageous foliage of the lofty trees which skirt the Battery Park, and which were as yet unscathed by the recent frosts, forming a delightful retreat from the scorching rays of an American sun. The sea view from this point, with the adjacent scenery, is interesting and attractive; the broad expanse of ocean in the distance, the highlands looming in the perspective, the numerous aquatic birds skimming the surface of the estuary, and the picturesque fort and woody shores of New Jersey, all tending to diversify the scene and add to its natural beauty. I afterwards visited this place over and over again, and every succeeding visit added to my admiration and enhanced its attractions. To the left lies, in panoramic grandeur, the harbour, literally teeming with ships of all sizes and all nations; while, on the right, the entrance of the majestic Hudson or north river, with crowds of magnificent steamers, traders to Troy, Albany, and the West, forms a prominent feature in that direction. The passing and repassing of steamers and other vessels of home-traffic, and the more exciting arrival of ships from foreign parts, give a zest to the scene which must be witnessed to be fully appreciated.

A day or two after, having obtained, through a friend, leave of admission, I crossed over to Brooklyn, and visited the Navy-yard. The docks of this establishment contained, at this time, many specimens of American naval architecture of choice description; amongst the rest, a frigate and several other ships of war lying in ordinary. Everything appeared to indicate good management and efficiency, as far as a landsman could judge. This was very discernible on board the vessels we were allowed to inspect, where the utmost order and cleanliness prevailed. The officers, I thought, seemed to exact great deference from the men, and their martinet bearing ill accorded with a republican service, being decidedly more marked than on board British ships of war which I had visited at Deptford, Chatham, and elsewhere in England. Probably a stricter discipline may be found necessary, on account of the equality that exists in America, which might operate to render those under command more difficult of control, if such independence were allowed to be manifested.

I found that the army and navy, in America, are chiefly manned by English, Dutch and Irish, not a few Poles being in the ranks of the former: these are impelled, through lack of employment, and the additional inducement of a tolerably liberal pay, to join the service. The Americans themselves are too sensible of the inconveniences attending public services, as well as too acute, to follow such occupations in time of peace, though when danger has threatened, they have always shown themselves at the instant service of the State, and as citizen soldiers are not, perhaps, to be equalled in any other country.

From the Navy-yard I proceeded to Hoboken; this is a place of great resort in fine weather, and is situate nearly opposite the city of New York, or rather the eastern part of it. Here I found assembled a large company of pleasure-seekers in holiday attire, some lounging under the trees, others in groups at pic-nic, and not a small proportion of the gentlemen regaling themselves at the refreshment stalls or temporary cafés, erected on the grounds, on mint juleps and iced sangarees. The grounds are interspersed with park, woodland, and forest scenery, and are kept in admirable order, the managers studying to maintain the appearance of original nature, and to impress on the mind of the visitor, that he is ruralizing, far from city life, amongst primeval forest shades; the contiguous scenery is not, however, calculated to carry out the idea. It is quite the custom for American husbands to leave their families for the day, and enjoy relaxation in their own way, a practice that I apprehend would not be sanctioned by our English ladies, any more than it would be resorted to by English gentlemen, from motives of kindly and very proper feeling. Here, in a retired spot, is the duelling ground, which has attained no little notoriety in that latitude, as the spot where many a knotty point has been quietly solved by the aid of a pair of pistols or Colt's rifles; although, for the credit of the citizens of New York and its neighbourhood, it must be recorded that they are not so ready to fly to this disgraceful alternative as their ensanguined brethren in the Southern or Slave States.