In reply to graeme gatherer:
Can recommend very highly the south side of the Virgental in the Hohe Tauren. The Zupalsee hut has a really great location, with as its name implies, its very own small lake. It is possible to get a Huttentaxi to the Wetterkreuz Hut ( no accommodation). Taxi very worthwhile as the ascent is largely on motorable forest tracks and children woul find it an eternity and quickly get bored. The route on from the Wetterkreuz to the Zupalsee takes 2 hours. Great views across the valley to the big mountains of the Gross Venediger.
Next day move on to the Lasoerling Hut which is 3 hours of gentle walking. A fantastic hut in another great location. The following day you could either return to the valley or move on to the Bergersee Hut and the to the valley the next day.
This is a wonderful outing which my wife did with her children many years ago and we returned there recently and greatly enjoyed the trip. Worth mentioning the excellent outdoor pool in Virgental. You could easily spend a day there and it is not expensive.
For more info, a good place to start is www.virgental.at - all in German I am afraid.