The amount you can expect to pay with Atlas Van Lines will depend on a few factors. First, the distance between your old and new homes plays a major part — the longer the distance, the more you’ll pay. It’s also important to consider how much stuff you’re bringing with you. If you can downsize a bit, that will save you some money. You’ll also pay more if you want a full-service moving experience (including packing) or extra protection for your items.