To begin with, as this is your first trip to Europe, I'd suggest that all of you read Europe Through The Back Door soon, before you get too far in the planning. It provides a lot of good information on how to travel well in Europe.
A trip duration of 14 days will provide 12 days for sightseeing, which will include travel days from one city to another. If you just want a glimpse of three locations, there's no reason you can't accomplish that. You could for example try something like this.....
- D1 - Flight inbound AMS
- D2 - Arrival AMS - train to Amsterdam Central and Taxi or Tram to hotel
- D3 - Amsterdam
- D4 - Amsterdam
- D5 - Train to Berlin - use a direct train, about six hours as I recall
- D6 - Berlin
- D7 - Berlin
- D8 - easyJet flight from Berlin to Zürich (about 1H:30M) - train from airport to Lauterbrunnen (as short at 2H:37M with two changes)
- D9 - Lauterbrunnen - hiking
- D10 - Lauterbrunnen (trip to Schilthorn or Jungfraujoch?)
- D11 - Lauterbrunnen
- D12 - train to Lucerne (2H:32M, two changes)
- D13 - Lucerne
- D14 - Train to Zürich airport for flight home (1H:03M) - try to book your return flight later in the day, so that you won't have to spend your last night in Zürich.
Have a look at the Rick Steves guidebooks for each of the locations you'll be visiting, to plan sightseeing, hotels, etc. You should be able to find these at your local library or larger bookstores.
As others have mentioned, be sure to budget accordingly for Switzerland as it's a pricey country to travel in. The scenery is exceptional so it's worth a visit (IMO).
You may enjoy having a look at this - https://www.youtube.com/watch?v=ybeBp4Z-YVY and this https://www.youtube.com/watch?v=3AxtbifeoBY .
Good luck with your planning!