Rent storage in Morgan Hill from StorageMart at 18025 Monterey St or call 408.782.2535. First month free, get instant quotes online today! Finding storage in Morgan Hill should be a quick and easy solution. That’s why StorageMart offers month-to-month leasing, a clean and welcoming environment, and a friendly staff to help answer any questions you have about self storage. Move on your own schedule with our extended gate access hours offered 7 days a week from 7:00 AM to 7:00 PM. One of the features at this location includes RV, boat, and car parking spaces. Keep your recreational vehicles stored with us and free up space in your driveway or garage.