A tattoo chair or bench is a folding, hydraulic table with vinyl upholstery. Sanitize it, collapse the sections, and protect the vinyl, and it packs down smaller than you would expect.
Pro tip: Photograph the folded configuration so you fold and unfold the sections in the right order at the new studio.
Watch out: Do not wrap tape directly on vinyl upholstery; it leaves residue and can tear the surface when removed.