The preserved village of Bukchon lies between Gyeongbok Palace to the west and Changdeok Palace to the east, where you can wander around restored timber houses and courtyards, and also grababite to eat in one of the area's cafes or restaurants.
Another affordable place to graba quick bite is La Boulangerie Il Rifrullo, a panini and espresso bar just a short walk from the Duomo that serves hearty salads for less than 10 euros.