Most kitchen tables come apart at the legs or base, which turns one bulky, awkward piece into several light, flat ones. The finish on the tabletop is the part most likely to get scratched, so padding it well matters more than muscle.
Pro tip: Take a photo of the leg bolt pattern before removing the legs so reassembly at the new place takes seconds instead of guesswork.
Watch out: Do not drag the table across the floor to reposition it, since even a light drag can gouge hardwood or scratch tile.