Thoughts/advice?

So the day after I brought my newborn baby home, I got a call from a woman letting me know that my fiancé had been cheating on me with her throughout almost my whole pregnancy. He had even convinced her to the point that she believed he was leaving his family for her, and when she realized that wasn’t the case she decided to take matters into her own hands and reach out to me. Initially I kicked him out of our home, but I was also recovering from a c section with a newborn & and an almost 2 year old so after a while I let him back to help out. Our daughter is now 3 months old. Hes begged to repair our relationship and I agreed to give him the chance if he could prove that it would be worth it. He has since stopped smoking (he was a HEAVYYYY weed smoker), he has started reading the Bible daily, he has been spending all of his time at home with me & the kids, does not use his phone when it’s not necessary (he would hardly ever stay home with us & when he was, his face was in his phone all day). He’s been very attentive & helpful, he’s deleted the phone numbers of all of his no good friends, he’s unfollowed anyone who isn’t family or close friends from social media… So overall he seems like he’s genuinely realized his mistake & is on his journey to changing. The cheating wasn’t the only reason he desperately needed to change his life, but he seems to be trying to do better. Our relationship has actually started to improve.. but still I have a really hard time trusting him and constantly find myself thinking about the betrayal and getting in a bad mood. Has anyone been through something similar and was actually able to save their relationship? Any thoughts or advice?