I have done a bad thing in the past and am seeking a relationship?girls?

I have a conviction for poccessing indecent images of children landing me 7 years on the sex offenders register. I am sorry genuinely very sorry nad try to lead a good life from now on. It is the only thing i have ever been convicted for I have on the large lived a good life. I wanna date but have to at some point be honest with her. I need to know as a girl would you forgive me? would you accept i can move on? and at what point should I tell a girl my past life?