The nearest ski area to Flumet is the Espace Diamant - it’s likely you’ve never heard of it, although there are plans to connect it to the Megeve lifts. It links the lift systems in several villages in the Arly valley and the Beaufortain – the official piste length total is 190 km which is quite respectable, but as there are hardly any adjacent parallel pistes the actual expanse is huge. You can cruise around the area all day visiting different places and there are no lift queues and no crowds on the pistes. If you are looking for challenge, there are no really tough black runs but you can play around in the areas off to the sides of the pistes that are generally not tracked out. There are beautiful views over to Mont Blanc and a lot of the pistes are tree lined.
There is a shuttle bus from the main road just below the chalet, taking you to the Flumet lift at les Evettes (and another shuttle to/from the tourist office in the village). It is possible to stay in chalet without a car and rely on this, renting skis at the shop by the lift (where you can leave your skis and boots in the lockers overnight). We tend to use the car and drive for 10 minutes to Bellecombe as it’s a convenient access point to many slopes.
Very nice lunch places include Le Refuge at Bisanne (which is accessible by car if you want to meet any non ski-ing friends) and le Petit Tetras on the Cret du Midi above Praz.
Les Saisies is further on up the road past Bellecombe, and has a huge (120km) cross-country ski area that was built for the 1992 Winter Olympics and stays open until late in the season. There is also a small cross country loop in Flumet village).