I just moved downtown and take both of my dogs here just about every day. I have a large and small dog so I take them to the large area and all of the dogs seem to get along, so far I haven't had a problem. As someone else mentioned they are always low on bags so I save my grocery bags and donate them to the park.
It would be nice if they could add wifi somehow so I could bring my laptop and work from one of the benches :)