Costs vary quite a bit, and it really depends on which resort you choose and when you go. Switzerland is clearly the most expensive of the three - everything there is inflated, from accommodation to coffee. France and Austria are more affordable, with Austria generally being cheaper than France. But honestly, the difference isn't just about the country - it'll depend on whether you pick a mega-popular tourist resort or something smaller and quieter.
As for daily expenses, they're pretty variable. A ski pass for a day costs somewhere between 40 to 60 euros at an average Austrian resort, while in Switzerland it can run 80+ euros. Accommodation is probably where you'll feel the difference most - a decent room in a basic hotel runs around 60 to 100 euros per night in Austria, but in Switzerland it easily doubles. If you stay in a hostel or shared apartment, you can bring costs down quite a bit. For meals, eat at a tourist restaurant on the mountain and you'll be bleeding euros; the solution is to eat in the village down below or bring your own food.
Why don't you do a quick calculation? Pick a week at a resort that interests you, add up the ski pass + accommodation + basic meals, and see if it fits your budget. The time of year changes everything too - Christmas or Easter holidays are super expensive, while outside those periods prices drop a lot. Do you have an idea of how much you want to spend per person?