There are many places where you can play badminton in Moscow, but officially these courts do not have websites or they are only in Russian (maybe the same in Beijing). Prices between 30 to 65 USD/court/2 hours. If you're interested, we can play together. Also I can invite on this game my Chinese female friend living now in Moscow.
How long have you been playing badminton? When do you arrive to Moscow? Besides, I will be in Beijing from 25 September to 30th.
My e-mail: firstname.lastname@example.org. Konstantin.