look for the ammo and nitrite spikes. after the spikes when they zero out, do a 25% water change for the nitrates and ur good to go.
with the corals, if you have different (more powerful) lights, acclimate them by starting them at the bottom and moving them up to where they will stay.
my water parameters are about the same between my QT and my ST, so I dont have to acclimate fish between them. If there are significant differences, treat like ur getting a new fish. float them for 20-30 min to temp acclimate and then drip acclimate them for pH, salinity differences.