I have the kids half of the time. Even with half the time, my schedule is rather busy.
This weekend I was with my dauther for 2 nights at girl scout camp where there was just another guy and myself and about 300 girls/mothers - it was a very estrogen rich environment. Then I met XW and my son at a Chinese language school picnic. I'm taking my son to his cub scout den meeting in a couple hours.
No need to rush yourself into a relationship. You are still quite young at 35.
