BBQ smokers, especially heavy offset and pellet smokers, are much heavier than a basic grill. The steel is dense, the lids and firebox doors swing, and pellet models have a hopper and electronics. Clean it out, secure every moving part, and use a dolly.
Pro tip: Vacuum a pellet hopper completely, since leftover pellets spill and can jam the auger after the move.
Watch out: Heavy steel lids and firebox doors can swing and pinch or bend, so strap every door and lid shut before moving.