I've been planning a trip to Greenland for awhile but have decided to postpone until 2025. I'll get to that reason in a moment.
The first thing you have to do is figure out where in Greenland you want to go. It's a big place.
As of now, the only way to fly into Greenland is either an Air Greenland Airbus from Copenhagen to Kangerlussuaq airport (the only airport that can take jets) and then a smaller plane to other areas including the capital Nuuk or a smaller propeller plane from Reykjavik Iceland to Nuuk. That's a three hour flight.
From there it's usually either a smaller flight or helicopter to your final destination since Greenland doesn't have any roads between cities. There are boats that travel around the island.
However, Nuuk is currently expanding its airport. It will have a new terminal and a runway long enough to accept passenger jets.
Air Greenland is hoping to offer flights direct from the US next year but nothing definite has been announced.