Les Contamines
The starting point for a number of great ski touring routes. Whilst the lift infrastructure in Chamonix allows quick and easy access to more terrain than you can shake a selfie stick at and put it on Instagram, this ease of access makes it harder to get out of sight of the lifts and other people. Les Contamines is much quieter and it doesn't take long on skins before you've left the lifts behind and are out in terrain that can feel very remote. The area is included in several ski touring guidebooks now, and coupled with relatively cheap ski tourers lift passes, all the main ascent lines will generally have a bit of a skin track in, unless you're very quick after the last snowfall.
One of the best beginner tours within easy reach of Chamonix is the Col de la Fenêtre, which gives over 1,000m of descending for only 200m of uphill effort. Even better, the ascent gets some shade in the morning, saving you from being roasted by the sun, whilst the descent is on the same aspect as much of the skiing from the Buche Croissée chairlift within the Les Contamines ski area, so you can get a good idea of the snow conditions for the descent without breaking sweat.
From the top of the Buche Croissée chairlift in Les Contamines (ski randonnée passes are available from the ticket office) traverse a little south and begin the gradual climb on skins with the Aiguille de Roselette above you on the left and the Lac de la Girotte below you to the right. After about a kilometre you should see the col, nestled halfway between the summits of the Aiguille de Roselette and the Tête de la Cicle, continue towards the col. Passing over the col your descent awaits, along with a whole new valley of views and the chance to put some more clothes on and have a bite to eat.
The descend initially runs to the right, below the east slopes of the Tête de la Cicle. The rolling terrain leads you to the small hamlet of the La Balme chalets where you turn back towards Les Contamines and pick up the well marked Roman road back alongside the Bon Nant river to the ski de fond tracks and the Télécabine de la Gorge.
Combloux
If you're looking for some where to practise your ski touring, train without worrying about snow conditions or just enjoy some fresh air whilst going uphill, Combloux is also host to a dedicated ski randonnée itinerary. A 5.8km long, 784m of height gain track is prepared from the Bouchet car park just above Combloux village and continuing up to the top of the Pertuis chairlift, the highest point in the Combloux ski area.