I would definitely recommend Ana's place 10/10!
I had my plane arriving in Malaga quite late, and I had a person waiting me in the apartment to handle me the keys which was really awesome!
Ana is quite friendly, the apartment is great and has everything that's needed (including iron, beach towels, coffee for late arrivals) and a small guide book which can give quite good recommendations on places to eat, sightseeing tips, I would definitely recommend to check it out!
The location is really down town, very close to the historical center (around 5mins walking) and the beach (around 10mins walking), and you would need a public transport only if you travel to the outskirts.
Ana (if you haven't figured it out) is an amazing host, who makes sure you've got everything you need and is available for questions, replies quite fast and she is incredibly friendly!
Have a great time in Malaga, enjoy the sun and don't forget to grab a sangria (or another drink of choice) and just relax!