Y'know, just cos they changed their mind doesn't mean you still can't move out and be who you wanna be. You could explain to them, that the prospect of not living here made you realize that actually you would like to, as your own decision, move out and do your own thing. Take that anger you feel towards them for fucking you over and put it into making an effort to do what you want to do. As parents they should support whatever decision you make in your pursuit for happiness, and if they don't, screw 'em. It's your life. We only have so long.

Therapy will help you bb, I hope the sessions go well *hugs*