Hi Nor H,
Near Salzburg you could go to Dachstein Mountains and Glacier of to the area around Zell am See/Kaprun Glacier.
In Innsbruck there are several possibilites, as mountain lifts go directly from the City.
You can also take a tram from the City of Innsbruck to the Stubaital Valley.
At that time of the year there will be possibily arleady much snow on the mountains!
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