From your original post:
I was wondering if there are any must sees in those countries and also if there are any major cities just not worth seeing?
Rome and Florence are two of those cities on your list. You've already been there. So why ask the question? I feel like you're just wasting people's time.
All those places didn't happen quickly or convenient to zippy travel. We don't know what we're dealing with till we get there. "I'd love to see what I just heard about, but don't have time." Why not? You're on vacation. And most likely won't be back.
Pleeease go slow.(extra night here and there.) You'll need to crash for real rest occasionally. And a day off just to rest your brain in peace and quiet.
www.hostelz.com has honest reviws and types of rooms. I stayed in a dorm for 4, in Bilbao. It's a good number. Therefore got time with folks and pov that I wouldn't have. Please don't structure your trip so strictly. Planes can't give us what a train ride does. You'll see.
Serindipity can furnish the best parts of a trip.
www.popperslist.com has documentaries about the karma of generally where you're going.
With all that money, why only a month? Eat at mom and pop places in alleyways, where the workers eat. Harmless.