You can get the 1099-NEC form and instructions from the IRS website, and fill it out yourself.
There is a deadline in early 2025 to supply it to the contractor.
Hold on a sec...
If you are a private citizen, you don't need to issue a 1099-NEC. Only if you hired this person in the course of some business activity. As a private citizen, you may issue one if you want to, but you are not required. The caregiver is responsible for reporting their income from their own accurate records.
Second, you can't download a 1099 from the IRS web site, that is incorrect. If you were going to issue a manual 1099-NEC (and file the accompanying 1096 as well) you need special 4-part carbonless forms that you can only get by ordering them from the IRS (in packs of 50) or buying them from an office supply store. It is better, easier, faster and cheaper to e-file the 1099. In addition to Turbotax, there are a number of web sites that will e-file a 1099/1096 for about $5 each.
As to which version of Turbotax will help you e-file a 1099, I'm going to ask @VolvoGirl because I think she will know and I don't use that function.
You would need to use the Online Premium version or the Desktop Home & Business program. You need to give a 1099NEC (previous a 1099Misc) to anyone you paid $600 or more to for the year. But not to corporations or for merchandise. You send the IRS a copy of the 1099NEC with the transmittal summary form 1096. These are due to the person by Jan 31 and to the IRS by Jan 31 also.
How to create W2s and 1099
https://ttlc.intuit.com/community/forms/help/how-do-i-create-w-2-and-1099-forms-in-turbotax/00/25869