24/7 Customer Support. At StorQuest Self Storage in Honolulu, HI we provide indoor storage units, a moving supply store, and even a free truck rental with storage. We offer multiple leasing options including month to month storage rentals. Our Honolulu storage facility in Kaka'ako offers a variety of storage unit sizes ranging from 1 sq. ft. to approximately 100 sq. ft., which are accessible 6 days a week.