Right, Home & Business is for personal returns that have Schedule C for sole proprietor independent contractor self employed and Single Member LLC. Home & Business is the same as the Online Self Employed version.
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
What kind of LLC do you have?
A single owner LLC would be reported on Schedule C unless the LLC elected to be treated as an S corp or C corp. Then they would also need to use Turbo Tax Business (not to be confused with Home & Business personal program). You will get a schedule K-1 (or a W2) from the business return to manually enter into your personal 1040 return.
