Short-Term Storage for the Gap Between Leases

The idea

Every time I move, there's a week or two where my old lease ends before the new one starts, and I end up begging friends to store boxes or paying for a full month of storage I don't need. I want a service that drops off a few sturdy bins at your old place, picks them up, holds them for exactly the days you need, and delivers them to the new address. No long-term contract, no driving a U-Haul across town twice.