Anybody know any good software that can edit mp4s?

I know that "mp4" is just a container and that there are different types of mp4 but does anyone have any general suggestions to try? I want to combine several short(like 10 minutes each) clips into one large one. However I do want to take out all of the portions that will overlap. So I need something like movie maker but one that can support mp4s.

And if anyone can explain "mp4s as a container" in a detailed and complete explanation then I would greatly appreciate it.