It's difficult to describe the difference and would say to try to see for yourself rather than my take my opinion. but, I will try to add some color for you:
People:
Sloan- Everyone was very friendly, smart, and sharp. I would say they have a different style than many other programs. Not in a bad way, but my impression was that they were less "polished". The positive side of this is that I think they are a little lower on the BS meter. The negative maybe is that there is less business presence you expect from MBAs. You might think you're at a Engineering school rather than a business school. Again, limited sample and just my own impression.
Booth - On the other hand Booth students were quite polished. I.e. they set off the BS meter a little, but also give a very professional first impression and seem well trained. Still down to earth.
Facilities:
Sloan - Very nice facilities, in the a great location in Campbridge. The main building is new and very nice. Then there are some older facilities that they use.
Booth - Top notch facilities. The building itself has a huge collection of modern art and the architecture is quite impressive. Located just south of Chicago. Students tend to live in one of 3 locations and 2 of those are not campus. They will swear that it doesn't impact their community, but it doesn't seem like everyone is always in the same spot. They also have a great building downtown where students meet or attend night/weekend classes.
Transparently, I am biased towards Booth. I can't say it enough, you have to make your own opinion. Both places are world class and anyone would be privileged to attend either.