I would recommend the stay to anyone who doesn't need to live in a busy city center. The neighborhood is lovely - greek families sitting on their balconies with their children, who are running around. The street is quite quiet (there is no reason to drive through it if you don't live there).
Vasileios was very nice and quickly reacting, he was willing to change our reservation (because we messed up flights), extending the stay and also managing a ride from and to the airport (even with a babyseat).
It's about 45 minutes from the heart of the city by foot, the majority of the journey is next to the see. It's also 15 minutes to the closest sand beach, which is quite nice but not suitable for babies (there are noticeable waves and is not really shallow). I would not recommend relying on buses, to be honest, we didn't have a luck to get bus 10 and 11 in front of closeby Lidl supermarket, it's better to walk on the other side where more buses are coming (just stop every bus and ask if they are going where you want).
The apartment is clean and nice, we loved to eat on the balcony (the view is on another building though). There are few pipes which are signs of a fresh renovation, which probably needs to be hidden soon. In the stove, grill with fan mode turned off fuses, but that's a negligible problem and a really big corner case. Air conditioning is working fine.
We stayed in this apartment with a two-year-old daughter and it worked, it's pretty safe. There are stairs you have to go, so we had to move the stroller up and down and keep it in the apartment (again, no big deal, just a consideration for e.g. a single travelers with babies and big strollers).