5 days trip to swiss with parents

Welcome mipoohkan. Lucerne would indeed be a good base. Hotels close to the railway station can be found here. You can plan all your trips with the aid of the timetable. Simply enter Lucerne as your departure station and any arrival station you're looking for (you can even enter Nürnberg or Pilatus, etc.) for details on all available connections. Here's how to get to the Rhine Falls.

If you're staying in Lucerne, you can also consider a boat trip over the lake, a visit to the Rigi or (in bad weather) the Traffic Museum in Lucerne.

Your plans aren't fixed yet, and some longer trips are involve (e.g. to Montreux), so I suggest a 4 day Swiss Saver Pass. As you're visiting 5 days, you can't use your pass on either the first or last day of your stay and you'll have to buy regular tickets that day. But if only the trip Swiss border-Lucerne is involved on one of these days, that's no problem. If you include your country of residence and let me know how long in advance you're staying in Nürnberg, I can be more specific your best purchase options.

Hello mipoohkan. I think most of your plans look fine. One thing I would change is that the Lucerne region is wonderful and maybe deserves some more exploration than one day only, especially in good weather. A boat trip over the lake or a trip to the Rigi (both for free with your Swiss Saver Pass) are great options. You may be able to plan this on either September 3 or 4. The afternoon of September 1 can best be spent in Lucerne (old town, Glacier Garden, traffic museum) or on the lake.

The trip for September 2 might be a bit too long. Note that the Golden Pass connection takes about 5h30, and that the quickest connections back from Geneva to Lucerne take 2h45 to 3h00. Did you check travel times using the timetable I mentioned? If you're fine with such a travel scheme, you're good to go of course!

You can indeed buy your pass in Lucerne. Ordering online here and having it shipped to your address in Nürnberg or your hotel address in Lucerne is an option too. In case you're still looking for hotels near the railway station: they can be found here.