You have very crowded parks, Susan ;) My Syau would not like to be around so many dogs. In fact, she doesn't want to be around any other dogs. She's a bit of a snob, I'm afraid.
As for running with a dog, I hate to see runners who refuse to stop for their dogs to smell or pee. We even have locals who ride bikes with their dogs running along side! I consider that animals cruelty.
Now, take PupperJack for his picnic - he's waiting!