It's the playground that's behind the dog run and basketball court that are under the 24 freeway at Claremont.  Note that Hardy dead-ends and does NOT intersect with Claremont. There is plenty of parking on Claremont just before Hudson street. There are no grills but tons of restaurants nearby that sell beer such as Ben & Nicks Pub, Lanesplitters, Zachary's Pizza and Cactus (Mexican).

Here is a MAP