It’s a tough spot....I have 2 young daughters as well. I felt the same thing you are feeling early on. Fast forward 9 months and they are both doing great. Be a rock for them, never let them see you struggle emotionally (keep that behind the curtain) and if they see you uneffected it will do wonders for them. If you follow sandis rules will gain confidence and clarity.
I was lucky in many respects that my W moved out 3 weeks after BD which I pushed her on doing. She brought it up and I told her to make it happen ASAP. I have no regrets. I did not want an in house separation and while I did not save my MR my W and I are cordial to one another and I believe we will have a great co parenting relationship.