We loved the place, the decoration was very nice, cleaning was spotless and everybody was really kind and helpful. The swimming pool was definitely a must, and the shop opposite the street very convenient.
The two little drawbacks that I found were that the place is by a main road (can get a bit noisy with the traffic), and you do need transportation to go to the beaches.
But appart from that it was really great. I definitely recommand Alex's place. It's a little peaceful jewel in Mykonos for a reasonable budget.