"White moves first," he explained, and had set up the table so that anyone he played would be white, and thus receive the advantage, though he never told anyone that if they didn't already know it. "So, your move, my lady."
Other options:
no subject
"White moves first," he explained, and had set up the table so that anyone he played would be white, and thus receive the advantage, though he never told anyone that if they didn't already know it. "So, your move, my lady."