Cheating spouses are like snowflakes. No two are alike. While some spouses unload their unfaithfulness like a vomitorium, with others, if you don't literally catch them in the act, they will lie till the end of time. I'm not sure if we know which behavior is most common - "Those that tell or those that never tell." Or if that even matters. Your husband, it seems, has chosen to talk honestly with you. When you suspect your husband is having an affair, and there's a lot of dishonesty & denial on his part, you end up feeling crazy. Since he has validated your suspicions - you have now started the process of healing. The road back from an affair is rocky with its ups and downs. Many couples have weathered this storm and now have healthier marriages with renewed commitment.
Have you considered speaking to a DB Coach? When I read that meeting new people for friendship & support may make you feel uncomfortable right now, I thought that calling a Coach to help guide you with solutions may be most helpful! Please consider!