10 Day Europe Itinerary

Hello All,

Looking for the best place for a 10 day first time Europe trip in late October, early November with a group of 6. Trying to find a places with urban cities but a short plane ride to some good hiking spots and mountains So far I have:

Machchester-Liverpool-lake district-Scottish highlands- Edinburgh

Chamonix-Annecy-Turin-Milan

Vienna-Hallstatt-Lucerne-Zurmatt with some smaller mountain towns

We are trying to go for 70/30 urban to outdoors for our first time. Flying into a bigger city, exploring, and being able to train or fly into some outdoor towns. Wondering if these are good options or if there are better options in places like Spain, Portugal, France, Italy, etc.

Any suggestions and tips are greatly appreciated!