My Husband Cheated...

My husband and I have been together for 12 years. He came to me yesterday and said he had something to tell me. He's been sleeping with another women... I sat at the table crying. He had tears in his eyes. I asked why. He said " I can't give you a reason because it would be lying. In all honesty.. Idk.. I made a choice. A stupid choice, but a choice". My husband and I have been fighting a lot and I asked if I pushed him away. He says " No. I made a choice. This is on me not you". He said he ended things with her and wants to go to marriage counseling. I called a counseling place today we start Wednesday. He has been sleeping on the floor outside my door because he still wants to be close to me. He also asked if I would be ok with going to individual counseling along with marriage I so he can talk to someone. Would that be a good idea? I need advice.

Look I know you guys want me to give up on my marriage, but rn that's not something I want to do. I just want advice about therapy and getting stronger. Honestly even though he says it wasn't my fault I know I wasn't a perfect wife. I'm short tempered and say fucked up shit that I regret. I need this therapy too. Plz understand why I'm not gonna leave.