Thing is, the user profile editor is part of the WP Admin back-end.
So, either you're looking at coding something together yourself, so as to both redirect and to allow for profile management somewhere else, or a suitable combo of plugins to achieve the same. There are some very nice "re-routing" login / registration plugin solutions out there; speaking of a more integrated approach, there's e.g. a complete bulletin board (a.k.a. forum) plugin solution that offers exactly the functionality you're looking for, namely Simple:Press Forum, which lets you choose where users ("forum members") go to register, edit or view profiles, see user lists, and so on.
My point being, seek and thou shalt find. Plenty of plugins around to pick from.