If you truly are concerned about him being violent with your girls, intentionally or unintentionally, then yes I agree with you, supervised visits are best. You should not back down until you have a good word from his psychiatrist. Better safe now than sorry later on, that you did not protect your little ones.

Regarding trusting my husband, it was a slow painful process. It took me several years before I trusted him completely. Our situation was a little different however in that Jim was suffering from combat stress and was drinking heavily when he cheated on me. I left him and went back to Canada with the children (we were stationed in Cyprus at the time). He followed soon after and went into treatment for his alcoholism. Not to condone what Jim did in the slightest, however I believe his alcoholism and being ill played a large factor in his cheating, so after he agreed to receive help and truly committed himself to changing, I was willing to take him back. Really he worked very hard to get me and the children back, and he has remained sober since and is a changed man when not drinking. After we reconciled, we went to marital counseling together for 2 years which also helped tremendously. We both worked very hard at repairing the marriage, as we still loved each other very much. I always tell others, if their partner has cheated, to not take them back unless they really are willing to work as hard as Jim and I did.

It is not your fault in the slightest that he was kicked out of his girlfriend's home. He should not blame you for something which is his doing to begin with. He was willing to cheat, now he must face the consequences of his actions.