My partner and I both list and sell foreclosed properties and each time there has been a tenant we have offered them a "cash for keys" incentive to leave the property in move-in condition. Not all banks agree to this though and a representative from the bank probably won't contact you until the home has been foreclosed on. Once they do, you actually have 60 days to move out, however, should the bank offer you money the 60 days are waived and you accept to move out within a reasonable timeframe. I suggest just starting to find for a different place and once the bank approaches you ask for the move-out assistance. Good luck!
P.S. You could also stop renting and BUY a house! There are a lot of properties under $100,000... more