Your story sounds poignant to me. Divorce and transition: a kind of double whammy.
To my little daughter at age 9, my crossdressing and wearing makeup is just a target of her fun. When I come back home, she scrutinize my appearance, and sometimes touch my chest to check whether I wear bra or not. Then she shouts about everything she notice. "Dady, you should not do girly things. I told you before, didn't I. You got it?"
My wife educates her well about gender diversity and my desire of self-expression. If somebody tries to criticize my crossdressing, then she defends me well. "There are girly men and also manly women in the world. What's the matter with my dad?".
After our marriage, I once lived alone for 1 year, separated from my family. Then, all headaches of a typical family broke out. My son refused to go to school and hated her mom. My daughter was not happy, as nobody defended her at home. After reunited, then all of those problems just disappeared. I realized how much important having both dad and mom for the growth of kids.
My wife sometimes jokingly calls me "pretty dad" in Korean.
Kids are resilient and flexible. My two sons accept my crossdressing very well, although the younger one sometimes complains on it. They think and learn no less than adults.
In my case, I do not have any plan of transition. I just want to stay as nice dad to my kids.
barbie~~