I have too many questions and no answers.
Long story dont feel like typing it all out.
This is insane at best. In fact, I think you're foreclosure is so far gone that it's not really feasible for you to salvage your ownership. So if I were in your shoes I would figure out how much time you're entitled to, to move out, once your foreclosure is final. Once you know that you could calmly plan your move to your next residence and not subject the kids to the panic a forced eviction seems to cause. Tell you what.