Yeah, if similar tank sizes and using same equipment shouldn't be a big deal. Leave fish in old tank, transfer 50% of water to new tank(don't vacuum gravel just pull water from the top), remove decor and carefully scoop and transfer substrate to new tank. May do a good gravel vac as you go, with the end of the syphon hose going into a bucket but strain it with a fish net, and carefully add the water back to the tank you are switching out of to allow yourself more time to vaccum(position the heater so it is submerged and can stay on if you do this, as the water will cool down if taking it out and adding it back!) . Let the substrate settle in the new tank, then fill it all the way up with new treated water and transfer and turn on the equipment and let it run for awhile. Once its full and at temp. switch the fish to the new tank and your done! I wish I had a new tank :.-(..
Edit: and to be safe, test water daily for the next week to be sure you don't get any ammonia spikes if the bacteria doesn't do so well in the move!
"You can't argue with stupid people, they will drag you down to their level and beat you with experience." -Mark Twain