Aug 12, 2015 - 7:55 PM
in reply to sunshine108
Take a look at the links provided for Zürich and Luzern.
As noted above, Luzern is close enough to do a lot there, eveb if your hotel is in Zürich.
North of Zürich and not far away is the Rhine Falls.
Quite a sight. Since I live in the northeastern USA, I have Niagra Falls, so I have only been to the Rhine Falls once. I can see water falls without paying Swiss Franks. ;-) They're definitely a worthwhile sight.
In contrast, I have been to and around Lucerne many times. Many things to do and see, many days worth of activities and sights. All kinds of hiking, an "easy, gentle" mountain (the Rigi) and a harsher mountain Pilatus. Lake boat rides are great. In my opinion, the best section for a boat ride is the southernmost part from Flüelen to Brunnen, and train from there. (10 minute walk - boat to train. Shuttle bus available.)
However, the whole lake provides a beautiful ride.
If you are interested, one of the best museum for Klee and Picasso, plus a small special museum about Picasso are each within 5-8 minutes of the Luzern Main Station.
Do you have any particular kinds of activities that interest you?
You could even squeeze in a visit to the Jungfrau region instead of Luzern. That region is highly dependent on having clear weather up high to get maximum impact, so normallyit is good to go there are two- three days to have a better chance for clear weather.