make clear all the account info that you two have, make sure all the accounts have both names on it, make sure you have enough private money for you and your kids. keep yourself alert in this case.
talk to a lawyer now is necessary.
once the divorce is filed, until the divorce case is finalized, you do not lose your status. your attorney
may need to work with another attorney who is specialized in immigration in your case, so you have to make your status clear when you talk with him about the case.
Once the divorce is filed, your attorney will also help you share with some of your hu*****and's credit record if that record is good to help you move on with your own life
I'll write more if I could think of more...