I just need to interject (somewhat off-topic) that when I first moved to Chicago I was delighted to find that there is a dog park called "Wiggly Field." (For anyone non-U.S. or U.S. non-baseball fans, this is a pun on one of the oldest baseball stadiums in the nation, Wrigley Field - I think only Fenway Park is older.) I love puns in general but cute animal-related puns are my favorite.
Back to topic, DH and I have cats, not dogs, so we do not visit Wiggly Field. We do sometimes (when the weather isn't freezing) walk down to the lake and watch the dogs playing at Montrose Beach - it is so much fun to watch them, all breeds, from huge to tiny, running around freely, interacting with each other and enjoying themselves. The dogs are so incredibly happy - when their people are driving into the parking lot the doggies are literally jumping for joy.
Until this thread it never occurred to me, but actually I have never seen any child there, much less a toddler. Not even a teenager (but that's probably because when we visit there it's early AM on Saturday). I can't really imagine a small child there - so many dogs of all sizes bouncing about and doing their business (their people are good about picking up but still I wouldn't want a kid of mine rolling around in that sand). There are so many places for parents with little kids to go and so few places for dogs in an urban environment - I would hate for the dogs to have to give up the few places they have.