Can I get paid to take care of my father?

Look into your Medicaid. They do have "in home" care. Some States will pay family members. In the State of PA., they have programs where family members are trained and hired by agencies. They then can care for a loved one. See if a program like this is in ur state. Both Medicaid and this program are based on the income of the person receiving the services.

The vast majority of family caregivers do not get paid for the provision of care. 
However, a loved one may use out-of-pocket retirement savings for this purpose. If a family member has enough funds to privately pay from savings, it is important to formally complete a Personal Care Agreement. Prior to receiving any payment, this document should be prepared to outline the services provided as well as the payment to be received. A personal care agreement cannot be created retroactively to pay for past care.
 
The Caregiver Forum is a great place to come for answers. Additionally, I’d like to offer the following AgingCare articles as reference points:

To understand the purpose of and create a formal agreement between family members, please refer to:

https://www.agingcare.com/Articles/personal-care-agreements-compensate-family-caregivers-181562.htm

It is important to note that most outside sources of pay will only pay for medically based home health care provided by an authorized agency. For a general overview regarding paying for care, please refer to:

https://www.agingcare.com/Articles/paying-for-home-care-155405.htm

And finally, if you would like further information regarding the decision to hire a home care company that fits your needs and your budget, please refer to:
https://www.agingcare.com/Articles/how-to-select-a-home-care-company-230598.htm

If you are new to caregiving you will likely have future questions. There are many answers from experienced caregivers here. Don’t hesitate to come back and ask.

There is info right on this forum:

https://www.agingcare.com/topics/133/paying-for-care