Ah Koukaki, yes you will walk till there, so maybe visit https://en.wikipedia.org/wiki/Temple_of_Olympian_Zeus%2C_Athens first , then the museum of Acropolis, then visit Plaka area lurking down to Monastiraki area and enter Acropolis near Agora or so. Then exit in Theisio area which is near Koukaki again. Something like that. Anyway all these are quite near.
Info of the day, going from the temple of Zeus to Plaka, you might pass by the oldest street of Europe, meaning this little road is in use constantly for 2500 years https://www.tovima.com/culture/athens-boast-the-oldest-street-in-europe-guinness-world-records/
