Print multiple copies of all your most popular photos in a variety of easy-to-sell, easy-to-store sizes (e.g. 20x30, 24x36, 24x30, 16x24, 12x36) , until the ink runs out. Then throw out the empty ink cartridges and move the printer as normal.
A pile of prints in conservation-grade folios is much easier to move than a printer full of ink.