At the bottom of Gómerez Hill, at the corner of Plaza Nueva, you'll see Gran Taberna, a classic spot where for 1.70€ for a draft beer or a soda, they serve excellent tapas. You can eat and drink here only (that's what we would do) or combine it with one of the bars on Calle Elvira. La Castañeda is one of the most typical (draft beer 1.90€), while in La Bella y la Bestia (Beauty and the Beast), at one of the intersections with Elivira, you can order mixed dishes to accompany your beer or soft drink (draft beer 1.90€). While not as good as the tapas, if you're very hungry La Bella y la Bestia won't disappoint you.