Hello,
I read your post and felt prompted to reply. I've got some questions for you and some suggestions....
First of all, remember that we all have free agency and make choices (some good choices and some not-so-good choices). It sounds as though you have reached adulthood after going through a difficult family life. You are at a point in your life where it's your turn now. It's your turn to make right, healthy choices. It's your turn to live a good, clean life. It's your turn to be an upstanding citizen in our society. If you have strived to do these things and your family still does not accept your or support you, then seek others who do support you.
Next, you mentioned that you live with your boyfriend because "THEY" kicked you out. I hope that's not the real reason why you’re living with him. That sounds as if you're giving your family the credit or blame why you choose to co-habitate with your boyfriend. You have other options. You can live on your own, you can live with a girl friend, and you can live with co-workers that also could use help with living expenses.
You asked about how you could patch up your non-existent relationship with your family. Ask yourself this.....Do you want to have a relationship with them at this time? Are you secure enough with yourself to accept their opinions and judgments of you? Are you willing to own some of the blame for the fracturing of those relationships?
I too have a family that has disowned me....but for much different reasons. I consider myself the white sheep of the family. I chose to break the pattern of chaos and abuse and I'm living a good life, which doesn't blend well with my family of origin.
I wish you the best in your search for some kind of peace of heart and mind. You deserve to be loved and supported so seek those that can offer that to you...and remember to be your own biggest supporter.
Take Care.