After 4 days in Istanbul, we wanted to spend 3 days along the coast. What do people recommend - Bodrum vs. Antalya?

We are a married couple, late 20s, interested in food, culture (musems/light sight seeing), and were looking for a few days to spend in the sun by a beach/pool to relax. We like to walk around - to eat, drink, shop, etc. - so if there's a preferred area within either city, please let me know.