Place Centrale Madran area, for sure!

The main Place Centrale-Médran area definitely has the most choice of restaurants as it is the central area in Verbier. Lots of bars and nightlife here too. It's also a great place to stay to easily access the main ski area via the Medran lift. However, it's also the most expensive place to stay... If you're looking for a better value option with less nightlife La Tzoumaz still has some good restaurants and is linked to the rest of the 4 Valleys ski area by the Savolyeres ski lift.

Yes there is usually one at the bottom of the La Chaux snowpark. It's usually open most of the time but if you are too early in the season they may not have finished the park and kickers etc yet.

Thanks so much, Dan!!