I don't know what the appartments are like, but a word of warning for anyone staying there with young kids...we went to the Stamatis pool, as the kids wanted to use the pool slide. This is set on uneven crazy paving and my daughter grazed herself quite badly when she tripped on an uneven bit by the slide.
The baby pool is fenced off from the main pool, so that's safe enough, but you would have to keep a close eye on young kids playing in the shallow end of the big pool as it shelevs steeply. The deep end of the pool has a diving board and is 3.4 M deep, so not suitable for less than confident swimmers.
The athina pool accross the road is much safer and has a huge shallow end.