24/7 Customer Support. At StorQuest Self Storage in Miami, FL, we’re here to help get you organized and spark the thrill of adventure in your world. With a variety of personal, business, and climate-controlled storage units, we’ll set you up with the perfect unit for your storage needs. With access 7 days a week from 6 AM - 10 PM, a convenient location just off Highway 1, and all the facility features you can think of, we’ll help get you ready for whatever life has in store for you next. Don’t settle for average self storage. Store with the best at StorQuest Self Storage.