with a new tank at least to you that has been recently moved you want test more than normal for a few weeks to make sure there isn't any die off or spikes in levels. Ammonia, Nitrites, Nitrates, Salinity, Temperature, Phosphates, Alkalinity, & PH are good to monitor. Usually once a tank is doing well for awhile you can skip testing the ammonia & nitrites as long as the nitrates are low. Having a clean up crew with snails & hermit crabs is a part of keeping algae growth down. Do you have a protein skimmer & are you doing regular water changes with rodi saltwater? The corals you have are good beginner soft coral which are easier to take care of. With other corals the calcium & magnesium levels should be tested as well. It is best to list the actual test results instead of saying "everything looked good" so people can help more. What kind of fish do you have & can you post some pictures of the tank / equipment.