I dont think it is necessary to move the water with the tank.
Check the tanks parameters prior to the move. Mix up water at the new place before hand to ensure it is well mixed. As long as you acclimate your animals into the new water and the water is close to the parameters that they were used to living in (assuming they didnt let the tank go to heck and its all out of whack) you should be ok.
The majority of the bacteria is not in the water, its on the rock, in the sand, on the bio-media, etc. Water makes little difference in the bio-bed. Save the effort. I think its a waste of energy, myself. Besides, why not start off fresh with water that you know is good because you made it yourself. I would keep the rock and sand wet during the move though, or you will loose a lot of the bacteria bed. I moved a 125 gal tank and kept the rock damp and sand wet, set it up with brand new water and never saw a cycle at all.
Anemones live for centuries in the wild. The most successful aquarists and public aquariums fail to keep anemones alive for over a couple years about 95% of the time (meaning they go through about 19 before they get 1 that does). Take the hint, we don't know enough about these animals to give them what they need to survive yet, and we aren't going to find it using the same crap we already know kills them. They arent coral, and the FACT is that treating them like they are (which we are doing as a group) doesnt work. I think that if you hear about an anemone that survived in a reef tank for 10 years you would be either one of very very few to do so OR you would be hearing an exageration. (keep in mind, CENTURIES, in the wild) Let the experts with the funds to do the research to learn what we need to to keep them alive in our tanks. I for one, know I don't have that kind of fundage.
The one thing you need I would recommend to you for reef keeping is to read "Natural Reef Aquariums" by John Tullock. This will assist you into not doing what most of us reef keepers do... SPEND.