If your smaller tank is established, I dont expect there to be much of a cycle when you switch. there will be a spike but not enough to cause real damage imo.
Like stated above, I would displace everything from the small tank into bins, water and all. then I would move the larger tank where you want it, then refill the larger tank with the old livestock, including water.
Pre mix the water as if you were doing a 40% water change insuring the SG, PH, and temp are where they should be.
I would be prepared to do daily water changes for about a week to try to minimize the stress that the spike will place on your pets.
Good luck!
Yep i'll second that...done exactly the same myself....no issues what so ever...I would not do water changes every day though, mainly as i dont think it will be neccesary...
Niko