The good news is that there are a lot of choices when it comes to homebuying right now. I'm sure you will find the perfect home to start your new life with your children soon. Just be patient. Blessings to you and your family.
By the way, not that your situation is not amicable, I would just let you know that I have seen more than one situation where a divorcing/separating spouse tried to hurt the other's credit report by deliberately paying debts and tradelines late. Just a word of warning. Keep in mind that credit reports are typically good for 4-6 months before they need to be re-pulled so you might want to think about pulling your credit now for a loan approval and then closing before the report expires - if that is a concern of yours.
If you have any questions, please feel free to call me.
Bank of America Home Loans