There were a couple of threads about this issue posted in March under All about Sowal rather than Business, Goods and Services. You can do a seach of the forum and they will pop up.
There are about half a dozen beach chair companies all with their own "territories". Let me know where you will be staying and I'll be happy to let you know which company services your beach.
Call Jimbo Bishop at (850) 231-1667 in Seagrove. He has a new company -- I forgot the name. He also does awesome fishing charters -- he'll pick you up at the beach right in front of where you are renting or will take you out at Grayton.