My fiance and I are currently leasing a house. Lease ends 9/30. We have been casually looking at houses to buy and came across one we really love so we put an offer in yesterday. House was priced to sell and the agent that showed us the house indicated the sellers wanted to close late June / early July. We'd be okay with that, but how should we handle our existing lease and communication to landlord of the rental? Our lease requires 45 days notice of termination before expiration date. Should we just wait and out and continue "living" in the rental and give them 45+ days notice?