Coming out

Hey I'm 16 and gay, and I came out to all of my friends a couple weeks ago. I haven't told my parents yet, they are semi religious, but they commonly express anti-lgbt rhetoric. My mom has said that if there were gay students at her school (work), that she would quit her job, and my dad is very conservative. Every time we are watching TV and they have a gay person or joke, they avoid it like it was an extreme sex scene. They have always supported my interests but I'm not sure if they would in this situation. Should I tell them? How should I tell them? Give me any advice you have please