You should not be doing this yourself, at least not the 1st year or 2. Go to a CPA or Accountant and get it set up right. A partnership is not self employment income.
Then if you want to do it yourself, You need Turbo Tax Business. The small business program (TT Business) is for 1120 Corporation, 1120S Corp, 1065 Partnership or 1041 Estate/Trust returns and will not do your personal 1040 return. It is a separate program from the Desktop Home & Business program or the Online Self Employed version.
Turbo Tax Business is not available to do online or on a Mac. You can buy the Window's version here. And you can have both TT Business and TT Home & Business (or any personal version) installed on your computer at the same time.
https://turbotax.intuit.com/small-business-taxes
