"Parents need to fill their child's bucket of self esteem so high that society can't poke enough holes in it to drain it dry"...
I read that today on Facebook and it is SO true. This is particularly true for Adolescents, Pre-Adolescents and Teens. It's a hard knock life. And we have to make our kids strong enough to take on the challenge. Our job as parents is to "give them wings then let them fly". But they won't make it if we don't show them how.
Think about how your avoidance affects your girls. They need to talk about it and so do you. Maybe that will make it less painful. Because truly - all 3 of you are in so much pain. And you need to work together to reduce that. To help each other. To be in it together.