Is there a luggage storage service in the Temple of Heaven? Do you have to pay for it?

As I know, there is no formal luggage-left counter there, but I think you can leave it at the nearby hotels or supermarkets. Anyway, if your luggage is not that large, you can take it in the park.

If you store your luggage at a hotel, you need pay a little. If at the supermarkets, no fee is needed to pay.