Q: How do I physically remove my mom from her house to Assisted Living?
A: Please get help for yourself. That means getting help for your mom. You can't let this kill you, and it could. Get social services involved so you have a third party to help you get your mom into assisted living. Do you have durable power of attorney to make decisions for her?
This arrangement is bad for you and bad for her. No guilt needed. You can't possibly be an effective caregiver as she gets worse and worse, considering how bad it is now.
Third party help is vital. Call social services and/or go to your state's website under aging services and ask for help. You can also find information from your local Area Agency on Aging.
There will be some version of the Family Caregiver Support Program and they will give you some local connections.