I hate having a fetish that is a really fun fetish and having to keep it a secret.
It sounds like you like the fetish. Is there a reason why you hate your fetish?
I've always had it. My parents made me think that having a fetish is dirty.
As long as your fetish is not illegal and does not negatively affect anyone, it is a perfectly normal and acceptable thing to have. You should work on being more accepting towards yourself so that you do not feel so negative about the things that you like.
I think to be safe that I should lie and tell people that I don't have a fetish even though I do.
You really don't even need to lie about it. Just don't go around talking about it. People really expect you to keep fetishes a secret.