Riad les Bougainvilliers is a beautiful place, just 3mins walk from the main square. Just as everyone else has said, Marrakech is very busy, but once you step inside the Riad, it's as peaceful as if you were in the middle of the countryside. I believe it was bought and renovated a few years ago, and the owners have paid enormous attention to detail in decorating it.
Rooms are big and very comfortable with large beds, safe, water always hot. As with most places, the call to prayer appears loud, so I would recommend earplugs for a good night's sleep!
The staff are really lovely, and extremely helpful, knowledgeable and friendly. They speak excellent English. Merci beaucoup a Yassin, Moncif et les autres! Ben