Ok OP, if I were her I’d want you to make a monumental effort now. Write to her and tell her you’ll do these things if you get back together:
You’ll look after the kids at weekends, you’ll no longer go to football or cricket. You’ll be there 24/7 to take over the childcare & cooking/cleaning.
You’ll take over as soon as you get home from work. Do cooking if you are able and clear up.
You’ll organise a lovely weekend away, if you are able to get childcare.
You’ll cherish and appreciate her more.
You’ll never again make her feel bad about the state of the house when you get home. When kids are that young it is impossible to stay on top of things.
Send her some flowers and tell her how much you love her.
Ask her to write a list of things that she needs you to do if you get back together. Emotional things and practical.
Start by asking her if she’d like to go for lunch or dinner to talk and take her somewhere really lovely.
You must not argue about your side of things, just let her talk.
This may work. But when I left my exDH it was sadly too late and I’d already made up my mind.
You may have better luck. I do feel for you, see if these things work.