In reply to Scallywaggon: The Cicerone guide is written by someone who spent only a few days in the area. Much better to buy a French guide in Bourg. However, for starters:
Taillefeur (wrong spelling?) from the Col d'Ornons. Nice little mountain, bouldery approach. Also a walk to a refuge from there. As suggested, the Goleons. Drive up the bends to Alp d'Huez and there is a delightful walk from the skistation along a chain of little lakes. Can't find the map at the moment to name them.Drive up to La Grave and walk north on the GR54 to the Plateau d'Emparis to Lac Lerie, almost like an infinity pool on the edge of the cliff reflecting the snows of La Meije. Also from La Grave, get the Meije cablecar and walk back down. Bit further, as suggested, the walk to the source of the Romanche via the Sentier des Crevasses from the Col du Lauteret is superb. La Berarde, the Tete de la Maye is the obvious panoramic viewpoint. Pic Gioberney via the Pilatte refuge is an easy mixed peak that doesn't need a rope so no harness.
If you haven't actually booked in Bourg, the Champsaur above Gap in the southwest corner of the Ecrins has a better selection of walks close at hand and definitely better cycling. Look at the Undiscovered Alps website to get an idea of the area. Not even mentioned in that supposedly comprehensive Cicerone guide to the Ecrins. Great area for mixed activities though, the Ecrins massif.