You don't have to change. Especially due to someone else, even if they're your parents. I wouldn't suggest you to move with someone else because I don't know age wise or if you're able to, but if the abuse continues then do seek for help!

Keep as little contact with your parents regarding the situation. Sometimes it takes time,effort and so much for someone close to accept when one in the family comes out.. sometimes they never do accept it and even if they don't, they have to respect you. If you know in your heart you are not doing anything wrong and you are at the age to be in a relationship then by all means do you, do what makes you feel happy..even if it hurts others. They will have to learn to respect you for your choices in life.