We had a great vacation at George's place. He and Katarina, who cared about us in Begur, are very friendy and forthcoming.
The appartment's interior is neither brand new nor particularly swish but it is located on the top of one of the highest hills of Begur, so the view is stunning and the area is very calm and peaceful.
It's possible to walk to the city centre within 15 minutes (in case you're not too lazy to go uphill on the way back). You'll probably need to car to go to the beaches - but then it takes only 5-10 minutes to get to the (subjectively) best beaches of the Costa Brava.