Am I too picky? How would you handle this?

I caught my bf cheating on line by posting a personals profile and browsing for other women so I confronted him about it and he said he wasn't cheating-just preparing to break up, but he cares a lot about me and wishes we could be friends. I said no friendship. If he is ready to move on, I need to do the same and friendship doesn't help me to do that. A few days after, he sent a message that he wasn't looking for any other women, he was missing me and my child(not his') and and we should think about things so he would call me in a few weeks and we can see how we feel then I responded and said ok but I am not going to call or chase him, so I have made no contact with him since then. It hasn't been long enought for him to call but I wanted to check up on his statement that he is not looking for any other women so I went on the site where he is posted. The personals site where his profile is posted says he was on there again just yesterday! . He also spent a lot of money taking us places and paying for my daughter and I in the beginning, but in the last few months he claimed to have no money and he would take us to do things that cost no money. When he made plans for things that cost money, he would ask me to pay and say he'd pay me back. He always did, but then he'd ask me to pre-pay for other things- so it was sort of a revolving payment. He also gave his car to his son to take to college out of state and asked me to pick him up, which ran up my gas bill, but he was wonderful with my daughter, paid for her to have ballet lessons and spent a lot of time with her-which her own father hasn't done. He also helped around the house, which being a single mom I appreciated. Most men I come across don't want anything serious and don't seem interested in a relationship, helping with chores or spending time with my child,like he did. So I don't feel like I have a lot of options. I can and have supported myself and my daughter for years, and though I am not even close to rich, I can thank God pay my bills. I don't need him to do those things but I do get treated differently by my child's school being single(they just about tripped all over him when he came with my daughter and I to her choir concert and have been nice to my child since, instead of picking on her as they usually did) The same is true at activities for kids where other women clutch tightly to their husbands and are downright rude when they find out I am single, as if I were a predator prowling for their husbands. I was talking to a co-worker and he said not to give up over something so small because most guys will do that and worse and some women are too picky so they end up alone. Am I too picky? How would you handle this?