How do I convince my mom to let me move out?

My life isn’t a sob story where I’m being beaten or whatever. My family is actually pretty okay. But my mom is getting married and moving about an hour away, taking my sister and myself with her. I go to a multi-county high school and I could continue to go there, however it’s extremely far away and she won’t let me drive on the freeway (I’m 16). I have contemplated moving in with a friend, and two of them have said I can defidently move in with them, but I’ve already mentioned it to my mom and she doesn’t want to let me go. I don’t have anything against her fiance, it’s just I’ve lived in this county my whole life and I don’t want to loose everything I’ve worked hard to gain. I’ve had to start over a lot because of moving around the county due to my parents divorce.
I just don’t want to have to rely on my mom for rides everywhere. By moving she’s ruining everything my sister and I have worked for and have ever known. I don’t want to be emancipated from my mom because it would hurt her feelings, but how do I convince her to let me do my own thing? I would still visit her, and I could even move in with my step sister.
I can’t move in with my dad because he’s incapable of taking care of me. I could ask, of course, but I doubt he would let me because he’s unable to take me places because he’s crippled.
So, what do I do?
Please no rude comments.