Moving out ?

How do people move out? How do they get over the separation anxiety from leaving their house/ mom? The feeling like you’re abandoning them and they’ll be all alone? Context- my moms a single mom, had a 3 bedroom house with yard and I do the yard work since we cannot afford a landscaper and I don’t want my mom to have a heat stroke. Boyfriend wants to move a state away, but I just don’t know how to leave my mom without thinking of all the bad stuff that’ll happen to her and I get really upset anytime I think of it. And he doesn’t seem willing to compromise on the staying in my state idea.

I feel really lost. I don’t want to loose my mom, I don’t want anything to happen to her. I started getting really bad separation anxiety from her when covid hit.