Moving at possibly 40 weeks!!

I'm beyond stressed out! I was under the impression we would renew our 3 br 2 bath house with my fiances cousin for another year, our lease is up July 31st! And he knew I am due August 4th! Our landlord is willing to let us stay until September 1st if we need it but I am beyond worried and stressed that we won't find a place in such short notice! My fiancé has a felony and it is so hard to find a place that is affordable and will look past his record! We might have found a place that we would have to move in August 1st am I crazy for moving 3 days before my due date? What should I do!?!?!? I can't seem to get this off my mind for a minute