You won't NEED to cycle your new tank, but it may end up cycling some with the change. I'll explain.
Make up enough new water to fill the new tank keeping in mind you are going to use ALL of the old water from the 46G.
Remove your critters and place them in a small tank or tub with some water. Then get another tub for your live rock and fill with more water. Ideally a tub that will hold all the rock and the rest of the water and still have your LR
completely submerged. Place a PH in the tubs and a heater to keep them both at the right temp. (pre-test the 2nd heater to ensure that it heats to the desired temp accurately).
Then you can remove the sand and place it in a 3rd tub, I don't recommend trying to just lift the tank off the stand with the sand in it, it will be heavy, and could crack the tank. Keep the sand moist.
Then dismantle the rest of the tank and set up the new one. Place the sand back on the bottom, aquascape the LR
and add the water, minus the water that the livestock is in. Ensure the water parameters are recreated to the best of your abilities. Then I would
re-acclimate the livestock just to be safe. Voila....done!
Also, make sure that all your plumbing and new equipment works by doing a freshwater run on your new system. Don't wait to find out things aren't working as well as planned after you have a tank full of fish and other critters.
Cheers, good luck.