Storguard Burnaby Storage Location. A completely renovated building, located on the corner of Gilley Avenue and Rumble Street just south of the Skytrain, in Burnaby - near the New Westminster border. We offer affordable public storage rates with no access fees or limitations. You can rent the storage lockers on a month to month basis with no contract leases. Our mini storage facility offers six covered loading bays and two large elevators to help you get all of your belongings moved in while staying nice and dry. Each indoor storage locker is self-contained with solid walls and metal roll up doors. So if you are looking for a storage locker in New Westminster or Burnaby, check out our Storguard Burnaby location.