It sounds like he is a very understanding guy. I am glad you two can talk about things like that like what bothers you. It’s awesome. It’s nice he has good relationship with his kids too. I also think it’s a good sign he wants you to meet his family even if it feels maybe a little soon. But it depends what’s soon. It might not feel too soon for him. Like you said you’d be nervous anyways

I’d have a huge problem if he’d share something intimate and private about you with his daughters, but in general talking about you with his daughters is kind of thing we can’t control. It’s annoying though even if it’s irrational, I get it. I hate it when people talk about me even though I know it’s normal for parents tk talk to adult kids about relationships

His daughter is likely just talking and being funny and doesn’t mean disrespect. Could be she is nervous about meeting you herself and is trying to diffuse it by being funny. .

I do understand your feelings and all kind of stress about it. It’s a nature of it. it’s awkward and at times backwards no matter how you slice it. We have three between us, all adult daughters. So I totally hear you! .

Enjoy your time visiting him! It will be nice!