As far as functionality and capability is concerned, the only difference between Home & Business and Self-Employed is the spelling.
Home & Business is the CD/Desktop version of the program that you physically install on your computer.
Self-Employed is the online version of the same program.
For rental property, you'll be fine using the Deluxe version, online or desktop. Basically the only difference for your specific needs between Deluxe and the higher versions, is that the higher versions have more "help" available within the program.
If you need to file more than one tax return, the CD/Desktop version will be significantly more economical too, not to mention much more user-friendly than the online version.
