Are you already under contract? I mean, has someone written an offer on your house? If so, I imagine that you want to keep it together!
Try to find a contractor who is willing to be paid out of your proceeds at escrow. If they know that your home is under contract and moving to closing, there are some who will take payment from escrow.
FHA is the big loan right now, so you hate to knock out that pool of buyers.
Have you gotten a bid for what it will cost you? You agent might be able to help you find a contractor.
I hope this helps! Best wishes, Linda