You wrote: " I don't know what it feels like anymore to belong to a family, to feel cherished, loved, or connected." So did you once know? Did you used to feel "cherished, loved, or connected" and a sense of belonging to a family?" I ask because if you felt it once, there exists a possibility that you can feel that way again.
Have you ever successfully separated and individuated yourself as a self-supporting adult? That goes a long way to putting things in perspective. If you ever felt any positive feelings for your family, I think I would hold off on dramatic gestures, move out, establish your own home and then re-evaluate. Are you receiving therapy? That could help you now and in the future too.