LH19 is absolutely right.

1. Get a lawyer appointment ASAP
2. Don’t have any more of these property division conversations until step 1 is done
3. Talk to the lawyer about custody and what you want and how to achieve it
4. Do not lie to your children. She wants you to lie for her because she has guilt over what she is doing. That’s not your problem. Your kids will resent you later on if they realise you lied.