I don't know if you are already divorced or if you are just going through it.
If you are still married, I agree with the other poster. You need to cool it on the obvious dating.
I have something similiar. I am engaged, but not re-married. My fiance and I have a daughter together. I have two children from my previous marriage. Neither of us are in a hurry to remarry. (He has been divorced also.) In the words of my attorney - if you aren't married, it is best that he doesn't live within the home. It can be an issue during the custody case.
It's not an issue that can't be fought out, but it can be a problem. We are discussing now rather we should move the date up. We planned on being married this December. I never got a big wedding the first time and I had it all planned. my grandmother's house. She has this big glass addition to her house, kind of like a sun room. I wanted that with the snow falling as a background. My son as the ring bearer and my daughters as the flower girls. His son was going to be the best man. And my father actually walking me down the aisle. Now it looks like I will probably get a quickie wedding within the next month or two. In front of a judge. Not what I wanted, but I want my kids more.
Keep us updated and good luck!!!