Hello, modernben2, and welcome to Psych Central! Do you mean that you want a relationship with her that's based on love, caring, and trust; only involves what is considered "typical" heterosexual behavior; and where you are faithful to her in all respects?

I am thinking it would be helpful for you to talk to a therapist about your "baggage." And I am not convinced that it would serve any good purpose telling your current girlfriend about your past relationships. Not if you want her to stick with you, anyway.