From Interlaken Ost station, there is an hourly train to Lauterbrunnen (make sure that you are in the right part of the train, as the train divides at Zweilutschinen). At Lauterbrunnen, follow the directions. You will make the ascent to Grutschalp in a cable car. From Grustchalp, a train takes you along the ridge to Mürren. On a clear day, the view from the train is spectacular.
Mürren is a beautiful car free resort, every thing is accessible on foot.
In the winter season it is a very popular ski resort, with plenty of rental shops. It also has a few sledge runs which are great fun.
Eiger, Mönch and Jungfrau.. There are spectacular views from Murren across to the Eiger, Mönch and Jungfrau mountains. It is nice to wander through Murren at any time of day or night and take in the view.
Schilthorn, . It is possible to take a cable car from Murren up to the revolving restaurant on top of Schilthorn. Fantastic views on a clear day.
Groceries from the local COOP.
Skis & other sports equipment from the town's many sports shops.
Stager Stubli, (Right in the center of town). Traditional Swiss food in a traditional setting. Fantastic food and a great atmosphere.