Your choice of bases matches exactly with that of mine.
Take a look at my trip report and photos at www.myswissalps.com/fo rum/topic/trip-report-14-days-switzerland-trip-apr-may-19
This will give you an idea of what could you possible do at each of the base. I am not saying what we did was the best. As I said Switzerland has lots to offer and some of these attractions are seasonal too, so we did what was best suited to us at that point in that time.
This forum is fantastic source of information and each important place has a dedicated page that gives overview of that place, the activities to do, how to get there and around and some other important aspects.
> you go thru mine and other reports on the forum,
> shortlist the places that you would like to see,
> check out the webpages for those places on this forum and understand what it has to offer and how to get there
>Using SBB.ch website and google maps, check out the travel time required to reach those places and make your itinerary
>Decide on the choice of travel pass suited for your travel itinerary
My suggestion for itinerary would be as below
Use the search box on this forum to access the webpages for all the place I have mentioned below.
22nd July 06:45 flight lands in Zurich
22nd July 14:00 Check in time at Lucerne
You will be done with your immigration formalities within an hour. If you haven't bought already, you could buy the travel pass over the counters at the airport and a SIM card( if you need one) by 8 am. Take the train to Lucerne and check in to your hotel.
You would reach around 10 - 10:30 am, much earlier than your check in time. Talk to them to see if allow you early check in, if not, you could drop your luggage at the reception and depending on your energy levels, you could visit Mount Rigi or Stanserhorn and / or wander in the city for a relaxed time
23rd july - 24th July - Depending on Weather, Mt Titlis and /or Mt Pilatus
25th July 11:00 check out time at Lucerne
25th July 14:00 Check in time at Interlaken
Check out the Interlaken page on the forum to see what you can do in half day, Depending on the what time you reach , you could consider a boat ride on Lake Thun or Brienz and visit Thun village or castles like Oberhofen, Spiez, Thun etc. You may have to visit the pages for these places or even their websites to see the working days/hours and also the boat schedule
26th July - Depending on weather, You could visit Schilthorn or Jungfraujoch
27th July 11:00 Check out time at Interlaken - Take the golden pass train to Montreux
27th July 15:00 check in time at Montreux
You would have half day here and you could visit Chateau De Chillon and a walk on the beautiful lake promenade. I would personally prefer the walk.
28th July - if its of your interest, you could visit the Cheese Factory at Gruyeres and the Chocolate factory at Broc or consider walking thru Vineyards and boat ride back to Montreux
29th July 11:00 check out time at Montreux
You could visit Rochers de naye or maybe Chaplins world at Vevey
29th July 21:40 flight leaves from Geneva
Hope that helps