I recommend staying at Luz's lovely casita. It's a secure, beautiful and unique apartment which reflects Luz's artistic flair. The water fountains, plants and outdoor space make for a very relaxing setting and the window/door opens out onto this. Luz was very welcoming and easy to communicate with. The location is about a mile from the centre of Coyoacan e.g. the main squares and the Frida museum, however, I enjoyed this walk as my daily exercise. Coyoacan is charming.