most affordable way to ship boxes depends on the weight, size, and destination of the boxes. Some of the most affordable options include USPS Priority Mail Flat Rate boxes, which allow for a fixed rate regardless of weight (up to a maximum weight limit). For larger or heavier boxes, FedEx Ground or UPS Ground services may offer competitive rates. Additionally, for those shipping small quantities, services like DHL eCommerce or regional carriers can sometimes provide lower rates for certain routes or regions.