Hochkeil Trail is a picturesque hike to the Hochkeil peak, starting from Arthurhaus in Mühlbachl am Hochkönig. The hike is easy and most importantly, offers amazing views. In summer, you can hike or bike up, in winter, I did this one as a ski tour as well. In general, it should take you around 50-60 minutes to the top, but it might be longer as you'll stop to take lots of beautiful photos. Just about 10 minutes from the peak, you'll have the chance to turn right, to the "Spiegelsee am Hochkeil" the lake that offers great reflections of the Hochkönig, just be aware that this is more a puddle than a lake, but for more info on this, see the respective location. In general, this is definitely one of the best hikes in the region regarding effort-reward ratio, as it is easily doable and you'll be rewarded with great views at the top.
IMPORTANT: Parking at Arthurhaus only accepts cash payment!