Mugboo – what time of year ? Morzine/Les Gets are quite low so only really reliable mid season IMO (last year being an exception).
What budget are you on ? The White Room in Sainte Foy (Stevo posts on here) have a great set up and some outstanding prices given quality. Chalets are very close to slopes and it’s really easy to do half days and/or nip back to chalet. From memory it was around 2 hours from Geneva but would need to check.
By the way we have a 2013/14 ski thread for this stuff 😉
Edit: just seen you don’t want to rent cars, so White Room is tough as train from Geneva to Bourg is rubbish. If you do go to Morzine/Les Gets Ski Transfers are good (they do chalet blueridge FYI). You can get a train from Geneva to Les Chable where BikeVerbier are but no car there might not work well)