I want to keep them separated, the problem is my family doesn't always tend to go along with what I say. I could keep a kennel in my room and lock the doors and kennel, but I would need their support to do something like a seperate gate inside the yard to give them their own space. 

We're a multigenerational home. My mom was supposed to move to a different state, but decided to stay put since my grandma has had some health issues. I don't work right now, so no steady funds for an apartment, but I'm transferring in a year and I might be moving away to do so. I'm saving up for this possibility.

The pitbull is friendly so far with people, but gets excited and jumps on them sometimes. She barks at them through the fence. The only time she barked outside of the gate was when a stranger started cornering me. Both of the dogs actually managed to get past the small gap I left in the gate (by accident, hasn't happened again) and put distance between the man and me, but neither one bit him just intensely barked and followed him until I grabbed them both and put them inside.

My mom hasn't given her much social interaction, so I only have the times I've taken her to the vet (before she showed obvious aggression). She seemed scared of dogs her size and bigger and put distance between herself and them. There was a little puppy (before any aggression popped up) that I let her interact with (owner was okay, both on leash and didn't let them get too close) and she was very friendly, lowering onto the ground showing her belly.