Absolutely, agree with Induskr and Ria and this concern is also well adressed in Ansh's recent post on remarriage.
In my opinion, 3 main concerns about dating this guy
1) you are risking your future by gettig emotionally attached to a guy that is not trustworthy (I feel an alcoholic is better than a cheat, atleast alcoholism is treatable and has little effect on character).
2) you may be contributing to breaking of another woman's married life (assuming he has not filed for divorce yet)
3) Most important aspect for me is the one raised by Induskr. I do not mean to make you paranoid, but she is absolutely right about. I am so paranoid about both my kids (6 boy and 4 girl) that I will never leave them alone with men (even if they are very close of relatives of mine). I am not saying you should do that, but what is more important is keeping them safe.
As for your daughter, I feel daughter tends to imitate mom - so try to be a good role model to your daughter. The new man in your life will have very little impact on her (even if he is the best guy in the world), on the other hand, it could be bad if she sees you suffering because of another guy.