OK, I spent ages writing a really good and informative reply and just lost it. So here's the bare bones.
Chamonix is great for everyone, but intermediates will want more snow cover, as when it's thin, it's those runs which suffer. Advanved - try coming down next to the rock face on skier's right up the top of Grands Montets, Sunshine Bowl over the back of Flegere, or the steeps at Brevent.
Intermediates will love the space on Grands MOntets, especially Canadian Bowl for relatively straightforward off piste, and down under the Bochard bubble is a long sweeping red with some taxing parts if you look for them.
Booze: Wallabies and the Choucas are cliched but good. The Jeckyl does brilliant chicken wings. Bar des Sportifs is a really French place, which is great, but be prepared to be embarassed when they notice you're foreign.