Question about my mom forcing me to live with her?

Background- My parents were divorced when I was three years old. I live with my dad and I'm 14 now. My parents have joint custody, my dad and I live in NV. My mom got remarried in 2007 and moved to IL. My dad hasn't had a job for a while now and we're supposed to be moving in with my grandma, who lives in CA, at the end of the month. My mom doesn't want me to, and wants me to move in with her because she doesn't like my grandma. My mom said, "She's put me down since the day your dad and I got married, like I was never good enough for her." Like me moving in with my grandma, who's a very well off and respected woman, is going to change me into some condescending brat child or something.... Living with my dad, I've always had decent clothes, I've always been fed, and I've always had a roof over my head. I'm very happy with my dad and I don't even really know my mom, and wouldn't feel comfortable living with her and her husband. I told her that and she told me that if I didn't just agree to move in with her that "things would get really complicated, with like courts and judges and stuff." So my point is, my dad and my grandma are not bad people, and I will always be looked after in a nice neighborhood with nice people if I live with them, and it obviously won't be permanent. Can she really like, use all that to have me court ordered to live with her? And please don't be mean about it. If I have something wrong(or you have a question), just say so and I'll add details. Thank you.