If you are moving everything in your current tank over to the new one, I'd keep bio-wheel for a littel while longer. If you move everything carefully, your tank may not go into major cycling, but your tank may go through a minor one for a short while. A well established bio-wheel can actually help you through the process.
If you don't see any ammonia or nitrite in a week after moving everything, I suggest removing the bio-wheels. I don't remember if you had a canister filter or a powerfilter now. Let the tank's filtering capacity (bacteria population) catch up to the bio load for a week or so. Then you can remove more parts of filter media. As Mariner pointed out in another thread, remove the bio-wheel and filter media gradually to minimize the impact of a decreased filtering capacity.
Tomoko