Like any physics simulation, dynamic hair takes patience and practice. I am by no means an expert in any field of physics sims of any kind, including this - just letting you know that up front.

After seeing the Alita Battle Angel movie, I really wanted to up my game for my two main characters.

I've practiced Carrara's dynamic hair before, but was largely unsuccessful at getting it to not flutter wildly - and I think that's because I wanted it to be very long and curly. The curls (unless we want really stiff curls) are controlled by the hair shader, and I think that also plays into difficulties with having hair really long AND curly.