The most common way to get to Åre is by car. Easy and fast because of the fine roads. Furthermore, it might be nice to have movement when you are here.
If you are really impatient to get into the slpoes there are airports both in Östersund (Åre Östersund Airport) approx. 80 km from Åre and in Trondheim (Værnes) approx. 130 km from Åre.
Looking for other modes of transport, there are alternatives. Would you rather sleep you up, you should take the night train. Sleep in a heavy rain Gothenburg and awake to a dazzling white ski paradise.
If you want to save money until you get up, go the cheap and comfortable bus from Stockholm. In short - all roads lead to Åre ....