Donât settle for less. Treat yourself to a little extra space at StorQuest Self Storage. Our brand new facility is located in Paramount, CA, next to Paramount Drive-In Theater. With our convenient location close to I-710, I-105, and access 7 days a week, weâll make sure that youâre always ready for life's next adventure. Whether you need somewhere to hold excess inventory, your collection of surfboards, or a climate-controlled storage unit for your musical instruments, StorQuest Self Storage has the space you need to make more room in your life for awesome.