That sucks. I don't know your area, but you may be surprised by what's available this time of year. We've been looking in Melb and there seems to be a fair amount available to rent in our budget without many people looking to move.

Depending on your state, I think you're able to leave on 28 days notice once you find something. It may be earlier given they've given you notice - I'd check with your state's equivalent of the renters tribunal.