A dryer is lighter than a washer but adds one big variable: gas. An electric dryer is a straightforward disconnect, but a gas dryer requires shutting off and capping the gas line, which is a job for a professional unless you are confident and qualified.
Pro tip: Electric and gas dryers use different power connections, so verify your new laundry room matches before you move.
Watch out: A gas dryer has a live gas line. Shut the valve and have a qualified pro cap, reconnect, and leak-test it. Never leave a gas line open or unattended.