A former coaching inn built in the 15th century, the Swan has an ideal spot facing the cathedral. Guest rooms, furnished with antiques, are done in subtle, restful colors; some have four-poster beds, and some have to-die-for views (including Nos. 40, 41, and 42, and the aptly named Cathedral Suite). An adjacent converted coach house holds 15 of the rooms. Check out the rooms first, as some are better than others. The award-winning restaurant, which is worth booking early, prepares traditional English roasts and fish dishes.