If you're ready to say goodbye to your storage problems, make the trip to Cumberland Storage today. Find us at 8225 South Broadway Avenue, close to Christus Mother Frances Hospital, Faulkner Park, the Village at Cumberland Park, Cumberland Road, and South Broadway. When's the best time to visit? That's entirely up to you! Our access hours are 6:00am to 9:00pm. After hours Call Center for 24 hour access. If you're looking for the best for your belongings, our climate-controlled self-storage units are a perfect choice.