There's a couple of viewing points for the falls one. Neuhausen and Shloss Laufen am Rheinfall you can reach them by train.

You could easily spend a week at Luzern to see all the sights in the city and around the lake.

check out www.rail.ch www.lakeluzern.ch and of course these forums.

Here's part of an answer:

1. About 50 kilometres - trains run every hour; trip time is a little over half an hour. You can probably manage to do it within half a day fairly easily.

2. Around Luzern there are the Rigi, the Bürgenstock, and of course the Pilatus. There is also the scenic GoldenPass route to Interlaken (and on to Montreux).

3. Besides the Jungfraujoch, you can visit Mürren and the Schilthorn with its revolving restaurant, the Trümmelbach Falls, the Aare gorges, take a trip to the Harder or on the Brienzersee (Lake of Brienz), or climb to the top of the Rothorn by means of the BRB steam cog railway...

#1

Information about how to get to the Rhine Falls at Schaffhausen using the ZVV S-Bahn is at - zvv.ch/_tourist_e/freizeit_ausflugdetail.asp…

After 9AM on weekdays, all day on weekends, you can travel round-trip for 23 CHF using the 9-Uhr Tagespass [9 o'clock Day Pass]. mct.sbb.ch/mct/…4556.htm

Information about how to use the ticket machines is at - http://www.zvv.ch/_tourist_e/tickets.asp

The ticket machine code for the 9-Uhr Tagespass is 141. The code for a ticket to Schloss Laufen am Rheinfall is 8447. The ZVV S-Bahn #33 from Zürich/Winterthur stops at the Schloss Laufen castle.

The English webpage for the falls is - http://www.rhinefalls.com/

Click on 'Schloss Laufen' for a description of the pathway from the castle down to the water.

Click on ‘Transport’ for a review of rail, trolley and bus routes in the area.

Another website with information about the falls is at - …all-about-switzerland.info/rhinefalls-neuha…

Information about the boat that crosses the river and goes to the base of falls is at - http://www.maendli.ch/index.php?lang=en_CH

Correction:

For information about the boat that crosses the river and goes to the base of falls, click on the UK flag at - http://www.maendli.ch

A time laps webcam is at - bildersammlung.ch/neuhausen-webcam-live-wett…

Thank you all for the valuable info that you have given!!Really appreciate it.