I was married for over 10 years. It was a stormy, and abusive marriage. I adapted to most things as I had been raised that divorce was not acceptable. I deeply loved my husband despite the not so pleasant things that happened during our marriage. I thought time, marital counseling, and as the kids got older things would improve. It didn't. It actually got worse. I don't know really how it happened, but I got the courage and stood up to him and gave him an ultimatum for him to seek treatment and individual counseling. He did for a few months with medication for schizo. tendencies . It stopped when it seemed to improve. In July, when the deal from the ultimatum was up and he was telling me he was not going for counseling. he was not going to take his meds, I realized I was in a dead marriage. He no longer cared about us as a family, just for what was best for him. By worldly standards, I suppose I was supposed to go out and cut his tires and denounce him to the world. I threw him out, but begged him to go for therapy. A year later after lies, emotional damage to our children, loss of home, staus, fianancial stress, lack of family support, denial, we had a divorce. It has been 2 years since the divorce and I can't seem to get my ex-husband to recognize the boundaries. He calls every day and stops over when he wants.  
I would really like to move forward, but the idea of a new male in my life scares me. Suppose he is just like my ex-husband? My ex wasn't like what he became after dating. We dated, we talked about politics and animals, dreams, religion, etc. We connected and clicked. It wasn't till after the wedding that I realized that he had an anger problem, inability to forgive, didn't like young children, abusive (physically, verbally, and emotionally), money priorities, jealousy, etc. 
I know this is a bit long and you probably have stopped reading this, but how does one move on? How does one deal with the ex-husband when dating someone new? Do you warn the new date that your ex-husband could be dangerous? How long do you wait till you interested the new male to your children? I have read some books on the topic and I am still unsure. Please advise. Thanks!