Grindelwald is the village the Eiger looks down on. A farming community first mentioned in 1146, it became a base for climbers in the nineteenth century, and the Eiger north face, the biggest in the Alps, still decides the mood of the place. The face was climbed for the first time in 1938 by four men from Austria and Germany, after years of failures that had earned it the German nickname Mordwand ("murder wall"). Across the ridge sits Wengen, a car-free terrace above the Lauterbrunnen valley that the British made a ski village in the early 1900s and that has hosted the Lauberhorn races since 1930. Both villages are run by the same lift company, the Jungfrau Railways.
Five days is the right length because the region is big in a way that asks for trains, not just lifts. There are three separate ski areas, a railway through the Eiger that climbs to 3,454 m, and a second valley on the far side with its own cable cars. Four days on skis cover the lot at an easy pace, and the day at the Jungfraujoch gives you the high-alpine view without skis. It isn't cheap: a mountain lunch quickly passes 30 CHF, and the ski pass is only the start of the bill (see the budget above). The pay-off is trains that connect everything and views you don't get elsewhere.
The plan is by area. Day one is Grindelwald-First, day two the Eiger side of Kleine Scheidegg, day three the Jungfraujoch and the move from Grindelwald to Wengen, day four Mürren and the Schilthorn, and day five Wengen, Männlichen and the Lauberhorn run. You sleep in two bases, Grindelwald and Wengen, and the plan is easy to shift to just one. This is a good first look at Switzerland in the mountains. Start on a Monday: you avoid the Saturday changeover crowds, the Jungfraujoch lands on a midweek Wednesday, and Friday is the last ski day. The Joch is the one day the weather decides, so treat day three as movable (see it). The Lauberhorn races, 15 to 17 January 2027, change day five, and the downhill course is closed to skiers from early January (see day five).