Water does not carry the necessary bacteria to cycle anyones tank. Its the Live Rock that carries the majority of the bacteria.
Remove the sand from your old tank, rinse it really really well, until the water runs clear through it. You can reuse it this way, it won't harm anything in your new tank. Put the sand in, fill the tank most of the way with SW
. Grab the rock out of your old tank, let the system run for 3-4 days, this will cycle the tank quickly. Providing you had enough Live Rock in the old tank. Leave water circulating in the old tank for the fish, they will be ok in there for a few days without anything.
Other way to do it is, emtpy the tank water into your bathtub, before stirring up the tank or removing anything. Put a heater in there and a powerhead.
Remove the sand, rinse well. Set up new tank, fill 2/3rds water, add live rock, fill the rest of the way. Add skimmer a heater and powerheads, let run for a few days, then your all set.
If you do not do one of the above, your new tank will go through a cycle, and this you do not want. If it does, and you add fish, you will be chasing your tail with water changes, trying to keep the ammonia at 0.