I need to file my own taxes (i have a job, not self-employed) and issue a w-2 for my nanny. Is TT self-employed the version I need even though I'm not self-employed?

You have to file Schedule H for your nanny. For this you need to use TurboTax Deluxe.

So I don't need to issue a W-2? Beyond filing schedule H, do I need to do anything else?

You do have to file a W-2.

 

This is from the 2019 Instructions for Schedule H:

 

Here is a list of forms that household employers need to complete.

• Schedule H (Form 1040 or 1040-SR) for figuring your household employment taxes.

• Form W-2 for reporting wages paid to your employees.

• Form W-3 for sending Copy A of Form(s) W-2 to the Social Security Administration (SSA).

 

For more information, see What Forms Must You File? in Publication 926 Household Employer's Tax Guide

 

You can prepare these forms in TurboTax using Quick Employer Forms.  But you will need TurboTax Self-Employed to access them.