Should I come out to my parents?

I am a bisexual female and I’ve known I’m bisexual since I was 16 (I am 19). I’ve been debating if or when I would ever come out to my parents or if I should? I’ve talked to one of my closest friends about and she thinks there’s no need because I mainly attracted to boys anyway. Also I don’t want my parents knowing about my sex life. My biggest fear isn’t that they won’t love me it’s more that. Like my parents are super conservative. It’s more that I’m worried there going to try to over compensate being ok with it. I’m out pretty much to my friends (like at college) and my best friend and that’s it. No family members