At least in SoCal, we don't worry much about hurricanes, but earthquakes are a different matter. I think that my dwelling might be inaccessible and its contents irretrievable after an EQ. Our vehicles are parked in the open and would more likely be accessible post EQ. I keep water, food, and very basic tools stocked inside. I think this will work whether we are staying home or decide to leave the premises for whatever reason.
Garden storage bench / deck box with a combination lock? Not as much room as a storage shed, but considerably lower profile. I'm assuming it's a single family home, duplex, or town home where you can place stuff outside without the general public messing with it.