As we have said before, the majority of the better classes of New York prefer to board rather than keep house. Of these, a large number board at the hotels, the rest in private boarding-houses. The principal hotels of the City are the Astor, St. Nicholas, Metropolitan, New York, Fifth Avenue, and the Hoffman, Albemarle, Clarendon, Everett, and Coleman Houses. These head the list, but there are scores of first class houses, some of which are elegant in every respect. The transient custom of the hotels of the City is enormous, but the permanent boarders of these establishments are very profitable. The rates are high, and the majority of these houses pay their proprietors well. There are two classes known in the City--those which are conducted on the old American style, or those known as "European houses." The former provide the guests with lodgings and full board at so much per day, or week, while the others furnish merely the room and attendance, and are either without the means of supplying meals to their guests, or charge for each article of food separately. It is hard to say which system is the more popular, though it would seem that the European is growing in favor. THE GUESTS. The proprietors of the city hotels are very active in their efforts to exclude improper characters from their houses, but with all their vigilance do not succeed in doing so. One is ever certain as to the respectability of his neighbor at the table, and it is well never to be in a hurry to form acquaintanceships at such places. Fallen women of the higher classes, and gamblers, abound at the hotels. The proprietor cannot turn them out until they commit some overt act, for fear of getting himself into trouble. As soon, however, as his attention is called to any improper conduct on their part, they are turned into the street, no matter at what hour of the day or night, and left to shift for themselves. HOTEL SWINDLERS. Quite a number of persons in this city make a regular business of staying at hotels, and absconding without paying their board. This class consists of both males and females, and is much larger than most people suppose. We take the following descriptions of some of the best known from the daily journals of the City. They will show also their mode of operations: