I have not visited these hotels personally, but I looked them up on the web to see where they are located (Ajax: http://www.hotelajax.nl/index.html De Filosoof: http://www.xs4all.nl/~filosoof/ ). Both are in good locations--Ajax is in the city centre near lots of restaurants. De Filosoof is a little further out (but not too far; A'dam is very small and compact) and close to a great park. The neighborhood around De Filosoof would probably be quieter--If I had to choose I would probably go with De Filosoof.

Erina in Amsterdam (The Netherlands)