Mine (all of them) are covered under my renters insurance.

Theft (in or out of the house), destruction, etc. Even if some uninsured idiot runs me over, it's covered. It's not covered if it comes off a bike rack on a car going down the highway (is covered if I run it into a garage).

Talk to your renters/homeowners. Mine did not require an extra rider for what I wanted, but with some companies I think it might.