Help new bunny mom

Hi everyone! I need some advice. My friend gave me a bunny as a present, and I want to let it roam freely around the house. I've already introduced the bunny to my family dog, and they get along well. However, I'm worried about my cat. She’s quite the daredevil and loves to haunt pigeons and she eats them. (We give her plenty of food). My dad introduced them, and it seemed fine, but I'm still really concerned. Any tips on how to ensure their safety when they’re together?