Search Rules applied to
Media Views are cascading, meaning that a filter applied to a parent view, automatically applies to all child views as well. So, they certainly
can apply to one another.
Also, I'd strongly recommend that you use MCs metadata instead of filtering based on file paths. You seem to have a nice structure on disk, so it is very easy to import the metadata you've "encoded" in your filesystem into the tags inside MC using the
Fill Properties from Filename tool.
You can do it with filesystem locations, but this relies on you meticulously organizing your files before they show up in the views, which kind of limits much of the power of MC (using the Rename, Move, and Copy Files tool to auto-organize files on disk, for example).
The way my similar system is set up is that all "kids" files are tagged with [Genre]=Kids.
Then, your top-level Kids View can just have a rule:
[Genre]=[Kids]
And since they "trickle down" this automatically applies to the Views underneath. Then, if you want sub-views for Audio, TV Shows, and Movies, you just do:
[Media Type]=[Audio] - for the music one
[Media Sub Type]=[TV Show] - for the Shows one
[Media Sub Type]=[Movie] - for the movies one
Media Type and Media Sub Type will be set automatically at import time, almost always, so this will probably work quite well.
Also, I'm not addressing the rest, but
don't clear your Library. That's a sledgehammer approach. You can certainly do tagging in an external editor, though MC is a quite potent tag editor once you learn how to use it (and you'd likely be faster using MC in the end, except for perhaps very specific tasks). In any case, clearing the Library isn't needed, as others explained above.