My fiance and I recently stayed at the Sotiris Apartments and had a fabulous time. The family are great, really friendly and welcoming. The apartments are well maintained and very clean.
Kefalonia is a stunning island and I recommend it as a perfect place to go away and just rest.
Svoronata is great, and to be honest you don't hear the planes, so although the airport is nearby it's not an issue.
For eating out we recommend the Fois restaurant and Spiro Spiros in Svoronata, that's if you want to stay around the apartments. If not and you want to head off somewhere, rather than head off to Lassi, which is just down the road, I definitely recommend Argostoli for a night out, it's a cheap taxi ride and there are plenty of bars and restaurants to go to, plus a good harbour with some impressive yachts.
What more can I say than it's great.