This is always a highly emotional situation. I agree, because of your mother's failure to plan for her end years is no reason for you to feel the burder of ta
king care of her. While I believe "honoring your mother" includes her care...that doesn't mean to your own detriment. It does mean to assist her in finding the best care that she is able to have for the situation. Both you and your sister are pretty clear about how neither of you can have your mom live there.

Don't move your mom to your home at all. (my advice.) Too many moves will upset her to begin with. IDK where you live, but in the USA there are more programs to assist you finding a suitable environment for her. Contact DCF for resources. If she doesn't have her own HMO membership, contact Medicare...and also check into Medicaid. There are assisted living facilities that also offer progressive assistance as she ages and eventually needs more nursing.

Remember, she made this decision by not planning ahead. You aren't making the decision for her. I'm sorry she is putting you in this situation, but don't allow her abusive nature to continue to control your lives.