From Spui square, you can go to the Begijnhof (seen from café Hoppe towards the square, it's a small door on the left hand side, open every day until 5:00pm).
The Begijnhof is a patio surrounded by houses. Originally, it was constructed as a sanctuary for the Begijntjes, a catholic sisterhood of of women who lived lives similar to monks. The oldest house in Amsterdam is located here, the Het Houten Huis, from approximately the year 1420. You can also find an English church (Engelse Kerk) constructed in the 15th century, and it still has it's original medieval tower. Another oddity in this place is the Chapel of Begjinhof, within houses 29 and 30. This chapel was a clandestine church constructed in the 17th century, and there are still ornaments and objects from the past of the Catholic Church. You can't bring bikes to this patio and you'll need to keep your voices down when you're there
From Begijnhof you can leave through the door on the other side (if you go on foot, you won't need to return for the bicycle). If you continue down this street that leaves from Spui square (Gedempte Begijnen Sloot) and you cross the patios of the Museum of Amsterdam (very interesting), you will arrive as the street Sint Luciensteeg. Turn left here and continue down Rosmarijnsteeg until arriving at the street Raamsteeg, an interesting backstreet where you can find bookstores, the famous Egstorf Croissanterie, antique shops, an ancient licorice shop
At the end you have the café Broodie Bert, with a beautiful terrace over the canal where you can have your last coffee before starting the return to the hotel. Their hamburgers and sandwiches are also famous!
