Exploring values and gripes with religion

How to understand my values and gripes with religion?

I'm looking for advice on how to understand how I feel about religion to be able to see if how my girlfriend wants to introduce kids to Catholicism is a deal breaker.

I typed a much longer, rambly post, and I can give details, but it boils down to this:

Im and outsider to catholicism, and personally am agnostic. In a nutshell, I think that religion can be fine and there are some good things that can come from it. Despite that, I can't seperate the thought that organized religion (and possibly especially catholicism) is brainwashy and has too much indoctrination baked into it.

I've been going to OCIA to get firsthand experience with what that feels like, talking to many people in my life about religion, and have tried to do a lot of self reflecting on what I value, and what I think is horrible. It's a large question, but what ways can I help myself explore my values so I can compare and contrast it to what my girlfriend wants?

Ask for any supporting details, and thank you very much.