You kind of answered your own question. You both want different things out of this relationship. I agree you should work on yourself if you feel you need to. You mentioned you don't want to date anybody else. Is there any possibility of getting out of the friend zone with her? If there is, work on that and don't date anyone else. It will complicate things. If you feel there's little chance then dating someone else would be fine but keep in mind the other girl might not understand or accept the fact that you're living with a girl. Good luck.