How do you know if you need tenant insurance? In short, if you would want to replace the items you’re storing, you need insurance. This coverage will help you replace any items you’re storing at our facility in the event that they’re destroyed by an unfortunate event. SafeStor Insurance covers your belongings in the event that they’re destroyed by lightning, wind, hail, fire, smoke, and earthquake or building collapse, a hurricane, explosion, or water leaks. Additionally, it covers loss due to burglary, vandalism, or even damage caused by vermin.