An oxygen concentrator is precision medical electronics that should travel with you, not in a moving truck, and should be running again the moment you arrive. A little advance planning with your supplier removes almost all the risk.
Pro tip: Call your oxygen equipment supplier before the move; many will deliver a backup unit to your new address in advance so you are never without oxygen during the transition.
Watch out: Never let a portable oxygen concentrator sit in a hot car or a freezing truck for hours; both extremes can damage the compressor and any internal battery.