Hi! Planning to visit Europe in late Sept/early Oct. We are flying into Rome and are interested in spending some time there before visiting Switzerland. We will be there for 9 days (leaving on the 10th so won't count that) and would like to see many different places - we are okay if we don't get to see everything in a city.
Days 1 & 2: Rome. Would like to leave the night of day 2 for Switzerland. That would give us 1.5 days there.
Days 3 - 8: Switzerland! We want to mostly hike as we plan to get our city fill from Rome. I think we would like to visit Zermatt, Interlaken, and Lauterbrunnen. Are we missing anything? I've been to Lucerne before.
Day 9: Return to Rome.
What is the best order to visit for the Swiss towns? We'd prefer to ride trains when we can but are open to flying for the sake of time. Any can't miss attractions/restaurants/hotels in these places?