As another child of divorce speaking up, I cannot stress enough how important it is to try not to bad-mouth each other in front of your kids. My mom never bad-mouthed my dad but for the first 5-6 years my dad caused all sorts of trouble that I just haven't been able to forgive him for. And I'm sure you don't want that for your two beautiful children!
I know it sucks, but you can get through it!
