I'm going against my parent's wishes
What wishes are you going against?
I'm thinking of moving out of my parents' house
I think that sounds fair. Your parents can't make you live with them if you don't want to.
I have to have sex, and I can't do it if I live with them.
There's nothing wrong with needing your own space to do things you enjoy. You should look for your place to stay if having sex is so important to you.