I'll tell you what my teacher told me:
That in the end, it really didn't matter if you were summa *** laude or something, or if you went to an Ivy League, but that you got the degree, that you are capable, and that if need be, your academic and past performance could be validated.
Which basically means that so long as the school you plan on going to is a good program, and that you do well, and that you get your degree, you should be fine.
Move around only for the experience. Extend your network, but don't move becos your friend told you to.