Good recommendations so far. I personally would not recommend Chamonix early season unless lots of snow has fallen early.
Orelle is a short drive / bus / train ride to Modane. From there you can take a bus to Val Fréjus or buses up to the Haute Maurienne (Val Cenis, Bonneval, etc.):
http://www.hautemaurienne.com/en/winter.html
If your goal is to live among the locals, the Maurienne Valleywill certainly allow you to do that. Orelle is not very big, so might not be ideal.
Anything in the Tarentaise Valley (Espace Killy, Paradiski, 3 Vallées) has decent to great conditions early winter. Val Thorens will be great for access, but if you don't have a car you'll be pretty much holed up there all winter.
Bourg St. Maurice is a nice village, you'll have a much more "local" experience, and in just a short funicular/monorail ride to Les Arcs / Paradiski. There's also great access to backcountry skiing in the Beaufortain as well as a 45min bus ride to Espace Killy (Val d'Isère Tignes).
It really depends on what you want for two months. Tignes is also a good option for great (and pretty much guaranteed) skiing. But, like Val Thorens, it's like living on the moon.
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