Yes there are Locker services at Dubai Airport, at Terminal 1 (if arriving with by / departing by any airline except emirates) and at Terminal 3 if arriving / departing by Emirates). The charges are AED50.00 per bag for 24hrs, about US $ 14.00
May I ask is this lay over by the airline (no immediate connecting flight) or are they taking the lay over on their own.
if you could give me the flight details, I would be able to make a suggestions accordingly.