For storage units in Concord CA, call StorageMart at 925.689.7475 or visit us at 5115 Clayton Rd. First month free, get instant quotes online today! Customers who rent our storage units in Concord CA have access to their storage unit 24 hours a day, 7 days a week. The property features drive-up storage unit access, which means you can drive your moving truck right up to your storage unit door. Storage units are equipped with wide, roll-up style doors so that you will easily be able to access every square foot of your space. At StorageMart, we offer a large selection of storage unit sizes with varying pricing options to meet any budget.