Eduardo has a wonderful apartment right in the center of town. It's a cozy, comfortable, spacious new flat with lots of light. Sparkingly clean and very well equipped, it includes 2 small balconies big enough for 2 people standing where you can watch the vibrant streets below, though its very quiet inside.
Being in the center of Madrid you are there are amazing amenities. Anywhere of relevance can be reached within 30 minutes.
Eduardo is resourceful with quick responses and can be of assistance with transport and touring arrangements. I definitely recommend his pleasant flat.