Maya (with the exception of 2010) doesn't have compositing capabilities. No version has the capacity for video editing, though you might be able to do some tricky stuff switching between cameras, but not worth the effort.

I use premier, if you're on a mac you can use final cut, after effects would probably allow you to do compositing and combining shots, but I haven't used it before... so the short answer is, continue to use premier, that's fine.