All My Sons Moving & Storage of Birmingham. AL is a full service moving company. The company is a family-owned and family-run local business. It was established over 20 years ago and has been in operation since then. It is an agent for All My Sons Moving & Storage. The company offers its services to the residents of Birmingham, Alabama and the surrounding areas. All My Sons Moving & Storage of Birmingham. AL offers different moving services which include local, state to state and international services. They offer their services to both residential and commercial clients offering packing and unpacking services with an option of do-it-yourself packing. The company also offers assembly and disassembly of bulky furniture, and quilt-pad wrapping of furniture during shipment. They offer clean, secure and climate-controlled storage facility solutions for all their clients as the need arises. All My Sons Moving & Storage of Birmingham. AL is a fully licensed and insured moving company. It has affiliations with moving bodies such as the American Moving and Storage Association. To get in touch with the company, you can reach them via their mailing address, phone number or by logging onto the website provided on this page.