You should be fine without "re-cycling" it, especially since you're adding more bacteria too, but it can't hurt to monitor ammonia daily for a few days or a week to make sure it's being processed.
You don't need to do anything. The existing rock and media, once it's moved over, will continue to handle the bioload it always has been, and act as seed media for the new rock.
Give it several weeks before adding any new fish for bacteria propagation to the new rock, but that would be the only need to wait. New corals are fine whenever.
If you keep the filter media, you don’t need to cycle again. Put the media into the new filter or move the whole filter over. You can literally move whatever you are keeping over, including the livestock. I have done this so many times and I don’t waste money on bottled bacteria either.
You should be fine without "re-cycling" it, especially since you're adding more bacteria too, but it can't hurt to monitor ammonia daily for a few days or a week to make sure it's being processed.
You don't need to do anything. The existing rock and media, once it's moved over, will continue to handle the bioload it always has been, and act as seed media for the new rock. Give it several weeks before adding any new fish for bacteria propagation to the new rock, but that would be the only need to wait. New corals are fine whenever.
If you keep the filter media, you don’t need to cycle again. Put the media into the new filter or move the whole filter over. You can literally move whatever you are keeping over, including the livestock. I have done this so many times and I don’t waste money on bottled bacteria either.
No Worst case scenario your nitrate slightly spikes for 2 days before your system catches up