The current opening hours can be found here.
The "K-onnection" connects Kaprun with the Kitzsteinhorn via the Maiskogel. The MK Maiskogelbahn runs from the center of Kaprun in two sections to the Maiskogel mountain station.
From there the 3K, a 3-cable gondola, leads to Langwied am Kitzsteinhorn.
With the other lifts you can then continue to the summit of the Kitzsteinhorn in winter and summer.