I need to hire some in home caregiving. How much should I expect to pay?

You may think you are saving money by avoiding an agency, but consider the cost of setting up a payroll (yes you do the payroll), sending in the withholding and FICA, unemployment insurance, disability insurance and time off with pay and overtime as required under the US Dept of Labor. See dol.gov for info.
You are also burdened with locating a replacement when someone calls in sick or does not show up at all. Pay rate varies by skill level. Companions are cheap, but do nothing. Bath aides a little higher, and anyone who passes medication higher still. Chauffeurs expect $25/hr including waiting time. At some point it is actually cheaper to move to Assisted Living. The biggest plus for us was that at ALF mom has lots of company.

Did your father serve during World War II. There is a thing with veterans that will help with in home care if he did. You can contact the Veterans administration to see if they can help. Also, I think if you get a reputable caregiver they are considered contract workers and they are responsible for taking care of their own taxes.