How can I get pay to take care of my mom at home with Alzheimer's?

If your mom has the financial means to pay you from her own funds, you should create a written contract and track the money. Her paying you makes her your employer and you must follow her state's employment and tax laws. This will protect her ability to qualify for Medicaid, should she ever need it (and many elders do). You must be careful about financial transactions that give the appearance of "gifting" of money from her. Hence the contract, etc.

Navarro, the vast majority of grown children who are caregivers do not get paid.... unless the parent can pay for the care from their own retirement fund.

If your Mom is on Medicaid [which is different from Medicare], call the State Medicaid office and ask if there is a program where you can be paid. If yes, that is great, but don't be surprised if the pay is minimum wage for a few hours each week. Each State is different.