I know the town well. There are many lovely places, and I heartily recommend that you treat yourself to a day of what my mum calls “drinking lunch”, (being in the province of Granada, the caña comes automatically with a free tapa 🥳) and basically do a bar crawl. Take notes!
in Velilla Taramay, you’ll probably enjoy the Antiguo Méson for a seafront seat. There’s a hearty (Uruguayan, I think) bar further up towards Taramay. I cant remember its name, but there’s always a buzz of locals outside it. La Primera Ola chiringuito is quite nice, but it might be closed.
in the town itself, start with Méson Gala near the front and weave your way among the many bars round there towards the Old Town. Head towards the square and, just before you get there, near the top of the hill, you’ll find Bodega Francisco I, my personal favourite tapas bar in Almuñécar these last 40 years.
enjoy!