Our family of 4 just got back from our stay in Ischia and we thoroughly enjoyed it! The kids loved the swimming pool and the apartment was very close to everything in Lacco Ameno. I think my wife and I loved the porch the best as it provided a private, great view of the town and water.
The kitchen had everything we needed, though we didn't really cook that much. We just made coffee, cooked eggs in the morning, boiled water and warmed up leftover pizza in the oven.
As for the apartment, I would call it a traditional Italian residence. We loved it! Be warned that means no air conditioning. We didn't mind as the weather was beautiful and the ceiling fans in each room made for comfortable sleeping. The apartment does overlook the main road so you need to lower the blinds for noise to block out traffic sounds and to darken the rooms.
The apartment's location is great, right at the beginning of Lacco Ameno. You can walk to everything including restaurants...