Chemical Solutions in a new tank

You need the tank to cycle. Letting it sit or even run through the filter does not chemically, or biologically cycle the tank. It needs an ammonia source. Many of us here prefer to fishless cycle our aquarium, if for anything at all, to spare possible fish deaths related to stress (and spiking ammonia levels).

If the tank is fishless cycled (read up on what that means and how to do it), and it becomes ready for fish and inhabitants, all products besides a good water conditioner is not needed.

Neither of those chemicals would be harmful, nor will they cycle the tank. One might not be needed, though. Do you know if your water has chlorine or chloramines? If your water utility uses chlorine, aging the water will allow it to gas off naturally--and while you can do this in the tank on setup, you'll need to either treat the chlorine or have some buckets/tubs for aging the water you use for water changes. If your water has chloramines, it must be treated chemically--first to break the chloramine down, then to bind the resulting ammonia. The Bio-Safe will accomplish this for you.

Bio-Coat--and other similar products, IMO, are not needed. They aren't harmful, really, but they give the illusion of making the water better for this fish, when truthfully, clena water is as good as it gets for the fish. Adding chemicals and such isn't good--the more stuff in the water, the worse it is, really. Think of being in a room where someone constantly sprays air cleaner. At first, no big deal, but after a while, don't you get sick of the stuff?