In reply to hpil:
Is there any particular reason you want to camp? If it's because you like it, then fair enough, but if it's for financial reasons then it's worth having a good think. We went to Saalbach last year, and were planning to campervan it. Having looked at a few forums we realised that staying in a hotel was substantially cheaper overall. Most of the htels give you a free card that gets you on the chairlifts (and I think the swimming pool ) for free It won't affect you as much if you're not using the gondolas much but once we subtracted the cost of the lift pass from the hotel then we were paying -£6 per night each full board en suite in a pretty good hotel. (yes that was a minus sign in front of the £) It was just nuts. 96 euros per night half board for me and the wife. Kids were free. 4 free lift passes for the week. Felt a bit daft leaving the campervan outside the hotel for the week, but at least it was somewhere to lock the bikes.
The hills around there are definitely more hills than mountains, so not very serious. More rambling than mountaineering.
The main problem is the biking, it's either pretty steep downhill or endless tedious fire roads very little in between. If your kids aren't much cop at cycling then they may not enjoy it that much.
Anyway check out hotels in whatever resort you go for. Many of them are piss cheap in summer