I enjoyed my stay at Alex and Laty's place.
Pros:
* Location: it's right next to the Parc de la Ciutadella (a big, gorgeous park) and is a twenty-minute walk from Nova Icaria beach (which is a bit quieter than the main stretch of beach that runs from the casino to Hotel W, and is great for beach volleyball, playing or watching!). There are some nice restaurants very close, with vegetarian options.
* Hosts: Alex and Laty are lovely, very friendly.
Cons:
* the room is very small, with nowhere to sit apart from the bed, and I got the feeling (perhaps wrong) that the living room is not intended to be shared with guests. So you probably want to use this just for sleeping & cooking, as a base for exploring, rather than a place to relax a lot during the day.