Having spent one whole month in Lydia's apartment we can definitely recommend it to other families with small children and babies. The location is central and close to whatever one may need (main sightseeings, museums, the city market, the sea, playgrounds, bus stops, etc.). At the same time it is remarkably quiet -- we could hear no noise from the streets with the windows open. A dishwasher, a washing machine, a TV with Netflix and a big fridge make the stay even more enjoyable. We did not miss a thing and fully enjoyed our Malaga vacation.
On top of that Lydia and Alfredo are excellent hosts who immediately responded to all our requests and helped us out when we messed up with the lock.