We chose Patrick's place, as we visited Malaga with our children (9 and 11) -- and, indeed, they loved it. It's reasonably children proof, the kids had their own territory in the upper part, we even found some board games. For toddlers, however, be aware of the stairs.
The place is not very large, as per square metre, but proved quite lofty, which for me was not evident from the pictures. (The space is skillfully formed, but hard to present on pictures; and the style is what you can see on the photos.) It has a well equipped kitchen, and a very clean and tidy bathroom. The washing machine and the dishwasher needed a bit of creativity to use, but we could manage.
The location is excellent: a short walk from the last street reachable by cars/taxi, really in the middle of the old town. The only downside, but this must be an issue with every accommodation in the center, is the noise during the night. (We were visiting off-season, so maybe that's why, but it was not even the foreigners, but people speaking Spanish, quite loud... until whatever, maybe 4 am, in February.) It seems completely normal, that people moving on the street just don't even think about others. Anyway, if you can live with that, this is an excellent place to stay, which I can only recommend.