Remember that it is possible to participate in two different events at your trip to Greenland. First AMO in Ilulissat from 28'th of June to 1'st of July and then NATLOC in Nuuk from 5'th July to 9'th or 10'th of July. You can go from Ilulissat to Nuuk with AirGreenland any day or with the coast boat (ferry) that departs from Ilulissat Sunday the 2'nd of July and arrive in Nuuk Tuesday the 4'th of July. See www.airgreenland.com
With the coast boat you are going to see more of the Greenland landscape and towns.