24/7 Customer Support. At StorQuest Self Storage in Denver, CO our mission is simple: we make self storage easy and accessible. Our facility is conveniently located only moments from 6th Ave and I-25. We are a best in class facility, open 7 days a week, even on Sunday, making it easy for you to load and unload your storage unit. You will appreciate our efforts to ensure you have access to your unit when you need it.