We yesterday spent our first Sunday in New York, having hitherto been always away on that day; and we heard a wonderfully impressive and admirable sermon from Dr. Tyng. The church in which he preached was of very large dimensions, but his voice penetrated it throughout; he stood on a small platform instead of a pulpit, with a low desk in front, so that his whole figure could be seen. He had a good deal of action, but it was in very good taste, and the matter of his sermon was beyond all praise. The text was from the latter part of Col. i. 17, "And by Him all things consist." In the afternoon we heard a good, but not so striking a sermon, from Dr. Bedell; and it was suggested to us to go in the evening to the Opera-house to hear a great Presbyterian preacher, Mr. Alexander; but this we did not feel disposed to do. The Opera-house is being made use of, as our Exeter Hall is, for Special Services. I think I may as well fill up the rest of this sheet by describing the arrangements of American hotels. There are frequently two entrances, one for ladies and the other for gentlemen. That for the ladies leads by a private staircase to the ladies' drawing-room; and the gentlemen's entrance opens upon what is called the office. Whether there are separate entrances or not, the gentleman is at once conducted to the office, which is usually crowded with spitters and smokers; and there he enters his name in the travellers' book. This done, the waiter shows him to the drawing-room, where the lady has been requested, in the meantime, to wait, and they are then taken, often through long and wide passages, to their bedrooms. A private drawing-room may be had by paying extra for it; but the custom is to do without one, and to make use of the ladies' drawing-room, which is always a pretty room, and often a very handsome one. In it are invariably to be found a piano, at which the ladies frequently perpetrate most dreadful music; a marble table, in the centre of which always stand a silver tray and silver tankard and goblets containing iced water, a rocking chair, besides other easy-chairs and sofas, and a Bible. It is a rare thing not to find a Bible, the gift of a Society, in every bedroom and drawing-room in the hotel. The bedrooms never have bed-curtains, and sometimes no window-curtains; but the windows usually have Venetian or solid shutters.