I agree that you are a rebound girl, but disagree you should forget him completely.
It sounds like probably there is something special between you two, but only time will tell. You don't want to ruin it by rushing into a full on rebound relationship with moving in with him and everything. I think the best thing to do would be to continue the relationship from a distance, and if things are still so good in a few months, THEN think about moving in with him.