My family has no idea I'm a furry but when I came out as pan/bi it was a bit of a fustercluck. They (most likely) outed my BF to his parents and forced us to break up which sucked. Idk what to do, honestly. I'm just waiting out this painful situation until they can 'find me a counselor/therapist', which has so far taken them several months. Imma opt not to say anything about the furry part yet, but idk your exact situation, so I can't advise you specifically. Though from my experience, I say wait til you're almost 100% absolutely completely certain that they'll accept you. Or just wait til you have your own place to live.