How do I come out to my family, especially some of the more homophobic members?

I've been wanting to come out to my parents and family for a while now. I'm honestly surprised that the members of my family, especially one of my older brothers who's well aware of the different meanings, have noticed or said anything. I say I'm surprised because of the big trans flag in my room, the fact I bought a binder [although it was too small,] and other minor details. I'm very nervous about coming out to them, especially because my stepfather and one of my brothers make very homophobic/transphobic remarks. Does anyone have any ideas on what I could do in this situation?