It was actually cheaper to ship from a UPSS than it was our own customer counter when it closed.
They are supposed to have the same basic shipping rates (retail) but I think the stores can charge different rates for accessorial services like resi delivery, additional handling, etc. The best deal out there, however, is shipping through a 3rd party like Shippo or PirateShip as they provide large discounts on all UPS services. That's all I use when I need to ship something. Print out the label and drop off at the UPS Store.