Yes, I forgot about the Guild Navigators. Technically they don't move the ships, they see the safe path to the destination.
Via the Navigators, who lived in dense clouds of spice, transport across the Dune universe was possible - spice was as fundamental to trade and commerce as oil has been here on earth for the past century.
If that recollection was correct, it seems odd to overlook one of the key layers of the original work (as I recall it, of course).