We are going to a hotel for Pesach and would like to know where do we do bedikat chametz and do we say baracha?
One who leaves his home within thirty days of Pesach is obligated in bedikat chametz even if he won’t be home for Pesach (Shulchan Aruch 436:1).
This bedika should be performed the night before one departs. The Rema writes that one does not recite a berachah, the whereas Mishnah Berurah (Biur Halachah) mentions a number of authorities who write that a berachah should be made, and leaves the matter astzarich iyun.
Out of doubt, a berachah is not recited.
Some arrange for a special sale of chametz, which takes effect on the thirteenth of Nissan rather than the standard sale (which takes effect of the fourteenth). If such a sale is arranged, it exempts from bedikat chametz.
Yet, rather than losing the mitzvah, it is possible to sell part of the house (meaning the chametz in part of the house), which exempts those parts from bedikah, and leaves the unsold parts for the mitzvah of bedikat chametz.
Note that you also have to perform bedikat chametz in the hotel, as you can see here.