I am glad everything is okay and the play went well. Just wanted to give you just a little spin. Do you want your children as part of his life? Do you want them to know who he is? If he was to not bring the kids around his gf and her children, whom are all a part of his life would you not think he was living a different life when around his kids then when not. The kids need to get use to his life now. Just like they do your life. His happens to involve another family.
Someday you or he will may have more kids. He will not get that one on one with them remember his time is court order limited anyway.
I live with my husband and our kids. He does a lot more 1 on 1 with our son then he does with our daughters. I am just the opposite. His 1 on 1 is limited to lunch w/ the girls every valentines week. With our sons it is different he takes him to the movies, sporting events. Their interest are more similar. By the way his daughters are his princesses. AWSOME DAD