Hi!
My dad played baseball and my mom was a choir kid but my pediatrician actually recommended gymnastics for me. My parents went with it and really enjoyed the ride. They always did their best at being supportive, even when my dad tried to ask how my yurchenko on bars was going. When I later tried pole vaulting, they thought that was scary until they came to my first cross country race when I was in college and saw people throwing up at the finish line. My mom was very concerned I was going to puke on her
I'm only a toddler mom myself but I've already found myself learning to love what my kids love - I'm a sit on a couch read a book kinda gal with dig in the dirt kids.
I think it's all about following your kid's lead in this sport and letting them know you're their biggest fan. Let the coaches coach and just be mom.