Do they have a place for my children to play while my dog plays

There is a playgroubd for children. It is in excellent shape. Hard part is watching children and watching the dog at the same time.

There is a small , but nice, playground here

Yes

Niki is wrong, there is a new playground, and a large grass field. My kids like climbing on the rocks as much as playing on the playground

My apologies, I thought your question was about a different park so I deleted my answer.. although there's no separate place at Bark Park for children to play.