Self Employed is an online version of TurboTax, meaning you log in and prepare the return online. Home & Business is the desktop version, meaning you actually install the software on your home computer (the two are comparable but not exact).
If you've always worked on a desktop version and prefer it, here's the link for the CD/Download: https://turbotax.intuit.com/personal-taxes/cd-download/.
You can e-file thru either one. It's just a question of which you prefer.