Morningstar Storage Share: Storage Morningstar Storage Visit Website 1533 Montclair Road Birmingham, AL 35210 (205) 956-8400 About Map About This Birmingham location features 2 floors of storage units with drive-up storage units. For all customers we offer a conference room and work cubicles to meet your business needs. What's Nearby? Distance: 5 10 15 20 25 50 mi.