ohh, booooooooooring! so many people recommending the French mega-resorts. Some non-French suggestions for a bit of variety:
Serfaus-Fiss-Ladis (Austria)
Oberlech (Austria - pricey, but not ugly and v convenient ski-to-the-door kind of place)
Corvara or Colfosco (Italy) - classy, great for beginners, good food, good scenery.
Cortina D'Ampezzo (Italy, but only if you don't mind hiring a car - and don't even think about it in April, too low down and not reliable enough on the snow front)
Are, Sweden (late feb onwards, and maybe not if you're looking for choc box alps village)
Can you go off-peak? If so, try late early or late February, or early March. I don't like skiing in April as although you get the sun, the snow is horrible, sugary mush by midday.
Ooh, makes me want to book next years holiday - but I will have a 3-yo and 5mo baby so maybe we better see how things pan out!