We are beginning to plan our first trip to Italy. We have decided to go in October and have tentatively decided on 10 days with two of those being travel. I know we barely have enough days to scratch the surface. We are mostly interested in relaxing in scenic locations, good food and wine and seeing some of the big sites. We want to see some of the famous sites but don't want to spend all of our time at museums or looking at art.
Here is what I have so far
Fly into Milan (see The Last Supper and the Duomo)
Train to Varenna stay for 1 to 2 nights
Cinque Terre (we would enjoy hiking and visiting all the small towns)
Florence
Rome
Here are my questions Are Cinque Terre and The Lake district too much the same, should I cross one of those places off? Although this is the vibe we lean to more, relaxation, being outdoors, etc.
Would it be terrible to not do Rome and just concentrate on Florence?
What about Venice? Do I need to add that in?
I know it's all personal taste. I want a good combination of easy vibe and also seeing the sites that make Italy famous.
Knowing what you now know about my preferences how should we spend the eight days not including travel.