Neither. Anything and everything, including home office stuff is entered on the SCH C. In TurboTax, all self-employed business stuff is dealt with in the Business Income section. Where that section is, depends on what version of the program you are using.
In TurboTax Self-Employed (online) and Home & Business (desktop) all business stuff is dealt with under the Business tab in the section titled Business Income & Expenses (SCH C)
For all other versions it's dealt with under the Personal Income (or Wages & Income) in the Business Income & Expenses (SCH C) section under the Business Items heading.
If you are using the online version, then you *must* use TurboTax Self-Employed since you are claiming business expenses.
If you are using the desktop version then you *must* use Premier or higher since you are claiming business expenses.