If you fancy climbing a mountain but the physical climb is the problem, you should take a combination of the Hungerburgbahn and cable cars up to the Hafelekar. For EUR 24 return, you will enjoy a three stage journey - firstly on the Hungerburgbahn which has reopened after being redesigned by star architect Zaha Hadid, and then by two large cable cars to Seegrube (ca. 1900m above sea level) and Hafelekar (ca. 2250m above sea level). From the top station there is a vertical ascent of about 150m to the summit of the Hafelekarspitze - it can be done with sturdy footwear even when there is a lot of snow (I walked through knee high snow in April 2008 to do it!). The Hungerburgbahn operates between 8:00 and 19:30 with the two cable cables running between approx. 9:00 and 17:00. Seegrube is also home to the highest fan mile for Euro 2008 - at over a mile above sea level.
Take the funicular - it's FUN! The Hungerburgbahn will take you a little way up the hill to the Alpenzoo, or further up to the village of Hungerburg. From there you can catch the cable car for the next leg of the trip up the mountain. (You could stroll around Hungerburg, but why stop there when there is more beauty a little further on?)
Not for those with a fear of heights. This is the second leg of the "journey" up to Hafelekarspitze. For people from Kansas, cable cars like this are pretty scary things.