You absolutely can store your own boxes, but, as a best practice, we encourage the use of our bins whenever possible for a number of reasons. First, our bins are made from high grade-high density polyethylene plastic, and they are specifically designed for their strength and durability, so they will protect your stuff much better than traditional cardboard boxes. Additionally, they have ergonomic handles for easy lifting, and their ability to stack cleanly go a long way to help our movers arrange everything for easy retrieval.