Apartments
There are many apartments available in Murren if the space in Chalet Alpenheim doesn't fit your needs (or is already full). Some helpful websites include:
Hotels
There are also many hotels in Murren; the Chalet Fontana & Hotel Blumental are in the center of the small village and the Alpenruh is very close to our apartment. But remember, it's only a 10 -15 minute walk from one end of the town to the other, so nothing is very far away! The Rick Steve Switzerland Guidebook has a wealth of information on accommodations and again, these websites will be helpful:
Mountain Hostel in Gimmelwald
The smaller village of Gimmelwald (not Grindelwald) is just a cable car stop below Murren; it too is car free. Actually, Gimmelwald is so small there isn't even a store. There is a restaurant however, and the Mountain Hostel has a self-service kitchen and mini-grocery. It's mostly a college crowd, but is clean, cheap & friendly. There are also a few B&B's in Gimmelwald.