Premium Q Moving & Storage is a family-owned and operated, trusted local Boston moving company. Premium Q Moving leads in the moving industry for packing, moving and local storage needs. We know summer season is often a very difficult and stressful time for Boston area college students leaving town for the break. If you are planning to travel abroad, across the country, or just don’t want to worry about your belongings for the summer, you can count on us to keep everything safe.