What would you do with 3 days in Murren mid June?

Do all of that. Also do nothing, weather permitting.

I am definitely not advanced enough to be able to bike there, but the hiking is amazing and just sitting on your balcony staring at the mountains is an excellent pastime! With 3 days you have time to go up the Schilthorn.

Enjoy being there and not somewhere else.....

Go up the Schilthorn. Dont wait - anytime you can see that the weather is nice, go. Everything else, you'll figure out when you get there.

Murren is not a place to have a schedule. Do whatever you want whenever you want to. Do take the walk down to Gimmelwald and the gondola either back to Murren or on down to the valley floor in Stechelberg. I love to stroll down the road to Trummelbache Falls (or catch the post bus). You can walk from Trummelbache back to Lauterbrunnen past the towering granite cliffs and Stuabbach Falls. Do take the Northface Trail from Murren and give yourself ample time to stop and take a rest. Pack snacks and drinks to take. The trail is just drop dead gorgeous.

Agree that you should consider the Northface Trail from Murren. Depending on the weather of course. It is not a strenuous hike, more like a hearty walk on mostly paved pathways. The scenery is absolutely gorgeous.

I'd add the via ferrata and paragliding to your list if feeling adventurous.
A glass of Swiss wine on the Hotel Bellevue patio is a must on my list.

Jay

If you click on my name you'll find a link where I list several hikes around there, with maps and pics. That will give you an idea of what to investigate.

An easy trail up from Muerren is to take the funicular to Almendhubel and walk the Mountain View Trail. Its easy, paved part of the way and great views.

Another easy hike is from Mannlichen to Kleine Scheidegg with fabulous views. I mean this one is jaw dropping to me! To do this take the small train from Muerren to Grutsalp, then the gondola down to Lauterbrunnen. Walk underground (takes you under the road) to the train station and take the cog train up to Wengen and then the gondola up to Mannlichen. Walk the trail (it's signed) to Kleine Scheidegg, then take the cog train back down thru Wengen to Lauterbrunnen, back up to Muerren. This sounds complicated but it's not. These things make more sense when you are there and see the layout. When you buy the ticket tell the ticket person Lauterbrunnen to Mannlichen, Kleine Scheidegg to Lauterbrunnen. People buy this route often so they will understand exactly what you want to do. This is my favorite hike. I love seeing down into the Lauterbrunnen Valley AND seeing over into the next valley to see Grindelwald. I love walking toward the Eiger, Monch and Jungfrau. Oh wow. I want to go now.

You can also take the Gondola from Muerren down thru Gimmelwald to Stechelberg (which is at the other end of the valley from Lauterbrunnen). Walk along the river to the sign for Truemmelbach Falls, cross the bridge, then carefully cross the road. See the falls, then get back on the path and continue your walk to Lauterbrunnen. This is completely flat so is good to do if you are tired. At Lauterbrunnen you will by now have figured out the gondola/train situation up to Muerren.

Thank you everyone for all of the suggestions. We are so excited!

With all of these gondolas, trains, funiculars, trams around the area, is there a day pass that gets you to go on all types of transportation for the day? Is there a 2 day pass also? We will be staying in Murren for 2 1/2 days and will probably be using all types of transportation in the area.