I have in the past moved a complete system, including a full 4 inch DSB straight from one tank to another. You will get a small, very short lived cycle as the sand bed re-establishes itself over a couple of days. Of course the sand bed should be the last thing removed, if only because it is at the bottom. Right before you remove the sand bed, siphon out all but 1/4 of the water. Then scoop the sand bed out and discard the left over water as a good amount of detrius will get kicked into the water as you remove the sand. I have done this three times with little impact on my reef.
The fourth time that I moved by tank, I took the opportunity to replace 1/2 of my sand bed, just in case those who claim that a sand bed soaks up nutrients are right.
That being said, I have never seen objective and quantitative proof that sand beds soak up anything, and if they do, that they then release it back into the water. It's always subjective proof, such as "my tank crashed after X number of months/years, and since I keep a perfect tank it must have been the sand bed" If somebody has a link, or a scientific explination as to why I am wrong, I would be happy to read and consider it.