Husband has left me for a younger woman

[Bex]

2 months ago my husband (together 13 years) confessed that he'd been having a 2 month affair with a waitress from his work who is 13 years younger than him (he is 38 she is 25) - he told me because her boyfriend has found out and was going to tell me. I said ok, let's try to work this out and he said "I can't do that" and basically left! He told me he loves me but has "strong feelings" for this girl. He has walked out on us, we have 2 very small children (ages 3 and 1). I spent a few weeks crying, pleading with him etc to come back which just pushed him further away and he was saying the most hurtful lies about our marriage, totally rewriting history, saying we haven't been happy for years! That our daughter (planned) was a drunken mistake!!!!! Anyway so since then I said I'm not fighting for our marriage any more and have totally backed off. I don't communicate with him at all apart from about the kids and he is being much nicer and respectful towards me.
I've made the decision to love back to my home town with the kids (as we only moved here a year ago and I don't even have any friends here) I told him and he was devastated. But still continues to see this girl, he hasn't said anything about not wanting us to go.
Up until a month ago he was still wearing his wedding ring when I shouted at him to take it off! When I asked him has he thought about divorce? He said no! When I said are you sure you want to get divorced? He said "no but whoever is sure about these things?" I said "people who get divorced!"
I am at a total loss as to what to do, I'm getting on with my life, reconnecting with my friends, had my hair cut, enjoying my kids etc but I just miss him so badly

Any advice would be appreciated as to be honest I look like I'm doing alright but on the inside I'm dying 😢😢