DO NOT STORE YOUR OYSTERS IN WATER!
Your oysters need to be refrigerated as soon as you receive or pick up your oysters. If you received your oysters in a mesh bag, put the whole mesh bag of oysters in a mixing bowl, cover with a damp kitchen towel, and put them in the refrigerator. If you received your oysters in a burlap bag, dump the oysters out into a mixing bowl, wet the burlap bag, cover the oysters with the damp burlap bag and put them in the refrigerator. The bowl keeps the oysters from leaking in your refrigerator. The damp towel or burlap bag keeps the oysters moist and cool.