I have done this quite often, sometimes including moving the tank and setting it up in another room, then refilling with substrate, plants, fish etc.
I would move stuff in this order:
1) Remove from tank and put into buckets enough water for the fish.
2) Larger ornaments, set them roughly where they will go in the new tank. As noted above, if there is ANY possibility of a fish hiding in the wood work, then put this item in a bucket or plastic box big enough that the fish is in water.
3) Equipment. Move it to the new tank but do not plug it in yet. (no water in there, yet.)
4) Plants to buckets. Removing the rooted plants will cloud the water in the tank. Allow it to settle.
5) Drain as much water as you need to to catch the fish. There is very little nitrifying bacteria in the water, but if the water chemistry is different you may want to partially fill the new tank with some, but continue reading before you go ahead with this. Saving some water in buckets is another option, if you must save water. I have done transfers that include 100% water changes and have no problems.
6) Catch fish. Keep them in buckets with lids.
7) Clean the sand as you remove it from the tank. You could add more water to help rinse it if you need to. Move the sand to the new tank, and arrange the decorations.

Plant with the sand damp, or BARELY covered in water. Or not even covered in water. This way when you fill the tank it is as clear as possible.
9) Fill the tank with new water, saved water or whatever, by pouring it in on top of a plate or plastic bag. This will reduce the clouding by minimizing the disturbance in the sand.
10) Turn on equipment and make sure it all works.
11) Add fish.
12) keep the lights off the rest of the day, and maybe minimize feeding if the fish are still hiding the next day or so.
More fish catching hints: If you have a piece of glass or plastic that fits in the tank you can use this to reduce the space that the fish are in, making it easier to catch them. Burrowing fish may completely hide under the sand, so be careful moving the sand. (I could not find 2 Cories in a tank when I moved it, and gave them up for lost, only to find the sand wiggling when the water was below the top of the sand) (They are alive and kicking today!)
38 tanks, 2 ponds over 4000 liters of water to keep clean and fresh.
Happy fish keeping!