We stayed at the Hampton Inn on our 3rd night during our 48 day west trip. I really liked the hotel but I bumped it down a star only because it sits close to a busy area and the traffic is hectic and crazy. But, I do have to say it was extremely quiet in the hotel and our room.
The parking garage is a bit tight for parking but the elevator is nearby to take you too your room.
It is very easy to walk to the Gateway Arch but is about 1 mile away. Nice walk down the city street though.
We got a king room with a view of the Arch from our window. Quite satisfied with that. They had like a banquet room for the breakfast and it was exceptionally good.
It is one of the better priced hotels for St. Louis for walking distance to the Arch so I would recommend it.