Most places on Orient charge for chairs even if you eat and drink there. I think Palm Beach is the only exception to that, but I could be wrong. The cost is usually around $20 for two chairs and an umbrella. The smaller places used to be a bit less, but with their increased rents that may be a thing of the past.
Our favorite is Kakao, with the dark blue umbrellas. It's centrally located on the beach, which we like for walking purposes. The beach staff is friendly and efficient, there's a beach bar there as well if you prefer to have your drinks there instead of in your beach chair. The restaurant is excellent, and there's also a smaller snack bar type restaurant with a more casual menu. They also have a watersports operation if you're looking for activities.