It sounds like you met a woman who is very respectful of what you and your girls have been through which must mean she really cares for you and is a woman of quality.
I do know in my heart your daughters want to see you happy and after the way they know their mother has treated you, they would love to see a woman treat you the way you deserve.
Dating after divorce is tricky. Especially with children. I would consider myself the luckiest woman in the world if I could find a guy who is patient and understanding of my situation. It would truly show how much I am meant to them.
Butterfly, I opened my heart to 2 men in 9 years. Not many people get in, but when they are in they are all the way in. Sometimes, I wish I wasn't that way, because when I get hurt, I hurt bad. But I am glad to know my ex did not take away my ability to love openly and freely because it's how I love.
When it's your time, you'll know it, try not to be too afraid.