How to raise children without hierarchy

I'm working on family planning with my partner, and we want to have children within the next couple years. While I'm definitely an anarchist, I'm not a 'studied' anarchist and don't know as much as I'd like about the political theory. I watched a video from Andrewism on the topic, which made me think about this topic. I largely agree with his assessment, and want to raise my children without a hierarchy because I believe that it's the best method of raising children. The problem is that I don't really know how to go about it or how to bring it up to my partner. Obviously there isn't a 'right' way to do it because each child is their own person and I'd need to balance that with the responsibility of being the parent, but I'd love to know some guidance from other anarchist parents.