I recently moved the contents of a 35g tank and a 50ish gallon tank into a 180g tank. I made sure that the temp and ph were the same. I filled the big tank, dechlorinated it, THEN added the 2 old filters (that way the water running through my bacteria filled filters was not killed by chlorinated water). Then I scooped in my fish. All was well, and I never had a cycle. Put your fish in some tank water in a bucket, keep your filter media wet in some tank water. Get your new tank in place. Fill with water and dechlorinate, add your gravel from the other tanks, make sure water temp and ph are the same as the old, get your filters running, pour your fish in. Test everyday just to be safe, but I doubt you will have a cycle at all. If you do, it should be small and easily kept under control with a couple of water changes.