I would recommend the Calis Beach Market, all the same traders go to all the Markets. Calis is smaller, and not so hectic much easier to get around. Come up from the prom and take the main road through the lights and then take the second roundabout with the Corner Restaurant on the right, so make a right turn, then pass the Yapi D.I.Y. Shop and the restaurants and the Market is next on your left. On Market day you can get the dolmus which stops right outside the market. Go early as it gets hot.
Fruit and veg, eggs, cheese yoghurt, chicken, spices etc., are all good. Clothing and bags are cheaper and better quality in the shops. The traders will not haggle much as they have a new bunch of tourists every week.