I was surprised to discover that even with a backup battery, a typical solar install is not designed to power your whole home in the event of a power loss. Only some inverters support it, and most backup batteries can't generate enough amps to start an A/C unit, even though they'd have enough to run it for a while.

Tesla's PowerWall is more capable than some, but I've heard nightmare stories about working with Tesla customer service so I stayed away from that one, even though technologically it's probably the most advanced.