Check the law, they should have to give you a 30 day notice to vacate. They can fire you whenever in most states, but they can't make you move before 30 days. I'm sure if you wanted you could drag the whole process out for a couple months, but that may make it hard to rent again in the near future. Enforcing the 30 days shouldn't hurt you at all though.

Remember, I'm not a lawyer and I don't even play one on tv, so take that advice for what it's worth.