Me and my sister are going to visit Switzerland end of March for 4 days. We will arrive in Zurich on a friday late night and leave next tuesday evening from Zurich. She would like to visit Luzern, Bern and Basel however I know it will be too much for us to go all these cities in only 4 days. We definitely want to see Luzern and we would like to decide on Bern or Basel, which would you suggest?
Another thing worries me that we will be there on a sunday and I assume a lot of places will be closed on a sunday like museums etc, am I wrong to think that? What possibly we could do on a sunday in Zurich?
Lastly, I am very much so confused about travel passes and half fares etc. We are both under 26, and ideally we might buy a 3 day swiss pass. However I am thinking on a zurich card for the first day, and online train tickets from Zurich to Luzern, Luzern to Bern and Bern to Zurich in one day. What kind of strategy we should follow to save some money? Thank you!