In honor of the birth - a dvar halacha. [I think we don't have enough halacha on Mevakesh. I gotta speak to the editor...] When a son is born the bracha of hatov vi'hameitv is made. For a girl a shehecheeyanu is made upon seeing her for the first time.
See the Tzitz Eliezer [13/20] for a discussion. He also talks about when one should name his daughter. Not surprisingly he doesn't say to do it at the bris.