You can still go to the uni accommodation.
Or just move out to a studio/flat, tell your parents you want to be more independent and have the full 'uni experience'. But you should reassure them you will not go partying every night and drinking.
Don't feel apprehnesive about being so close to home. When I was choosing universities I couldn't decide between putting one that was 5 hours from home as my firm or the one that was 30 minutes away. Like you, I wanted to move away and start over. I ended up going to the one that was 30 minutes away as I much preferred the course but I've still had the chance to have the whole uni experience. Always go for the course you think would be best.