This review is based on an eleven nights stay with my wife and four years old son.
We recommend Jose's apartment. It has a well equipped kitchen, with most things you need to cook your meals. The beds are comfortable (though one mattress is starting to show signs of wear, Jose will surely replace it before this is an issue for future guests). In front of it there is a small playground for kids, and around the corner there is a medium sized supermarket. A large Corte Ingles is close by, as is a subway station to get to/from the airport. The apartment has a doorman who is friendly and helpful.
In our view the only drawback of this apartment is that it is a bit on the noisy side. This is due to facing a busy thoroughfare. But this is more than compensated by the warmth of Jose, who not only was waiting for us with a smile (and a bottle of cava), but also was a model host.