Hello everyone,
I am new to this site and have read quite a few posts in the forums before actually registering. I have a situation that I feel feedback from you might shed some light on how I should proceed. I apologize in advance for not using some of the abbreviations common on this site as I have not yet figured out what they all mean.

My divorce was final in Sept 2011. The circumstances leading to the divorce was due to my wife cheating. I could not find it in myself to try and work it out as we had been growing more distant and frankly we had less and less in common over time. We have two children D5 and S3. They will be 6 and 4 in late Jan. Needless to say we have both done our best to shield the children from our issues and have been very civil. The divorce was amicable. That is to say, we did everything ourselves without lawyer participation. Custody is 50/50 and there is no maintenance or child support required from either of us. The kids seem to be adjusting relatively well. That is the brief background...
My ex is now pretty serious with a new guy (not the one she cheated with). He seems to be okay although I have yet to meet him. I am arranging to have a sit down with him soon. My ex is one of those people who seems to not be able to do anything on her own. She needs to have someone around which leads me to believe that the other guy will be moving in with her in the relatively near future. I am not sure what the best way to deal with this is. I have nothing against him since he is not the one with whom the cheating occurred and by all accounts he is a decent guy. He seems to be good with the kids and they like him well enough. I would like to sit down with him one on one just so we can get to know each other. I mentioned this to the ex and she went nuts. I told her I have no intention of discussing their relationship, I just want to get to know who he is since he is around my children and I don't want her directing the flow if the conversation.
I am out of line asking to speak with him one on one? I just want to do what is best for my kids.