Only you can decide what's right for you. It does sound like you are trying to send H a message with this move, and you should think about the following:
1) Can you send that message in other ways without moving out? (i.e. how else can you indicate that you're prepared to move on?)
2) What will you do / how will you feel if that message is not received the way you're expecting? (It rarely works out like you hope)
Can you afford to live in your own place right now? Are your parents helping you out?
Thanks,
Accuray
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015