From what you said you have a girlfriend that they have to compete with for your attention, and they are moving out of state so they live 2 different lives depending on the custody and visitation arrangement. Maybe you don't realize how difficult and painful those things are for your children.
As an advocate for kids, I think all these possible/probable effect on kids should be considered carefully. Too many parents consider their own "happiness" instead of their children's.
I may find the links for the stats later.
YOu can take your advocacy for children and piss off.
This is a much edited version and I'd advise you to keep your damn assumptions on anything related to my daughters to your god damn self.