“I believe truly that it is healthy for every person to go to a psychologist especially at teenage stage of life”
definitely agree. been there done that. I was also a regular teenager-good family and school etc. yet i desperately needed someone to talk to. Discussig it with my parents was one of the hardest parts. Yet, Looking back speaking to a perfessional was one of the best moves ever. SeRiously. dont know how to give you specific advice about how to tell your parents, without knowing you. I could just assure you (from personal experience)that its certainly worth the effort. Your doing the right thing-dont doubt it for a second!
Hatzlochah!