I would think you'd add them after fish since they need/want some nitrates (and other nutrients). While cycling the tank will leave you with nitrates, any water changes, plus the corals consuming them will bring them back to zero. Some fish in the tank will keep those levels elevated.
Also, if you plan to QT your fish your inverts/corals, and I know a lot of people don't QT inverts, the QT time for corals is considerably longer than it is for fish. About 30-45 days for fish, if nothing goes wrong and 76 (little more, little less, depending on who you listen to, but in that neighborhood) for inverts. So if you're looking for an excuse to buy some inverts/corals now, set up an invert QT tank and get some in there.
While the lighting for the corals can add a considerable expense to setting up a coral QT, especially when compared to how cheap it it is to set up a fish QT, since your DT is empty at the moment, you could move those lights over to a coral QT and back to the DT when you move the corals to the DT. That would buy you 76 days to get something more permanent for the coral QT.
But again, I know not everyone QTs fish and many, if not most, don't QT inverts. It doesn't sound like you plan to, so this may be moot.
PS, if you haven't cycled your tank yet, it might be worth it to QT some livestock, since that'll take a little while anyway.