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Hi Hadas and welcome to MySwissAlps!
In order to know if a rail pass is an economical option for you, you will need to plan out your trips and do the math comparing point to points tickets against a rail pass. This means not only train trips, but also buses, boats and cable cars that you might take into the mountains. Read through our page: How to choose the best rail pass (there is a handy Excel sheet to help with the math).
Often, for people with a car, the best option is the Swiss Half Fare Card. As your trips on public transit may be limited. This gives you 50% off all tickets purchased for transport (good if you don’t want to plan out your trips too!). Children under 6 travel free without a ticket or rail pass and you can add on the Swiss Family Card when you buy the Swiss Half Fare Card to cover your children between 6 and 15.
But if you are confident you won’t use too much public transit (1 or 2 trips during your stay) a rail pass might not make any sense.
For ideas on what to do in the Lausanne area click here and in the Lake Geneva region click here.
Lucas