Should I come out?

I'm a 21 year old bisexual woman in a relationship with a man. My family is very open but can also be kind of harsh with their jokes. Should I come out to them as bisexual even though I'm in a relationship with a man or is there no need? I'm conflicted. I want to be open with them and with myself but there's something frightening about coming out. Figured Reddit is the best place for advice.