I can't remember how my parents reacted when they first found out I self harmed. When it got bad and I had to keep going to hospital my dad would be very dramatic saying when is it all going to stop but my mum (when she was well) was rather supportive and expected it so it never came as a surprise to her. She saw it happen on a day to day basis where my dad didn't because he didn't live with us so he didn't understand at all. Mum was often worried that I'd go too deep and die because of the severity of my self harm but she managed it with me.
Maybe you should think about telling your parents. I'm sure they'd want to support you as much as they can and you deserve that support. You really do. I know it's a hard thing to do but a lot of the time being open and honest is the best way. It's just something you can think about for now.
Keep smiling