As long as you are under 18, you live where your parents say you live. If they say you can move out, you can move out. If they say you can't move out, you can't move out. It really is that simple. Unless you are removed from the home by the state, there is NO option, and I mean absolutely no option no matter how many but-what-ifs you come up with, for you to move out of the house over your parents' objections.
Permission to move out = move out.
No permission to move out = stay put.

