Just remember coming out isn't always easy. At least for most people it isn't, anyway.
I promise I've been there. My parents are generally supportive (my mum is much more supportive than my dad though haha) and I hope yours are too. If not, remember you aren't the only one. Also remember that you don't have to come out immediately. You don't even have to at all. You don't owe it to anyone and it's completely your choice.
Please make sure you are safe before coming out, otherwise it would probably be worth reconsidering.
Happy Pride!