Cats bond with territory more than people, which makes moving day uniquely stressful for them. Containment is everything: a secure carrier during transport and one quiet, closed-off room at the new place until the cat is ready to explore.
Pro tip: Rub a cloth on your cat's cheeks and wipe it on doorframes in the new room to spread its own scent and speed up the sense of familiarity.
Watch out: An open front door during move-in or move-out is the single most common way cats go missing on moving day; confine them before movers start.