Medical equipment covers a wide range of devices, but the moving plan is the same for all of them: inventory everything, keep life-critical devices with the patient, and lean on your supplier for the complex ones.
Pro tip: Call your home health agency or durable medical equipment supplier before the move; many will handle transport, setup, and recalibration of complex equipment as part of your service.
Watch out: Never let life-critical equipment, like a device someone depends on daily for breathing, feeding, or monitoring, be out of reach on a moving truck; keep it with the patient at all times.