We stayed at Christina's place for a month, and her apartment is ideally located for families! There is a playground near by, lots of shops and restaurants, and the Acropolis metro station and the tram are just a few steps away. It's not a hilly location so good for walking with little legs. The national gardens, Zappeio playground, Acropolis museum, and plaka are all an easy walk away. There's a grocery store nearby too, but just note that the closest periptero is closed on Sundays and Mondays. Make sure to download Uber or Beat for cabs because hailing cabs can be an absolute nightmare (and lots of tourists are getting scammed).
Christina was a wonderful host, and in constant communication. The air conditioner wasn't working in one of the rooms and she got us a fan right away and had a technician come in ASAP. We had a small issue with the toilet and she fixed it the exact same day I contacted her. When our flight out of Athens was delayed, she gave us a late checkout. Overall, a fantastic experience and I would highly recommend staying here!