The defining safety issue with a gas stove is the gas line. You must shut it off at the valve, and capping and reconnecting the line is a job for a licensed professional. Never leave a gas line open, and always leak-test after reconnection.
Pro tip: Schedule the gas disconnect and reconnect with a pro in advance, since availability on moving day is tight.
Watch out: The gas line must be shut off and capped, and reconnection must be leak-tested. This is a licensed pro job, not a DIY shortcut.