There are a few different ones throughout the zoo. One picnic area is before you enter the area with the giraffes and there's approx 8 tables there. There are a few others scattered on the grounds that are about the same size. The park itself outside of the zoo has a few areas to sit and relax as well. Hope this helps
The above post is correct
There are many picnic areas throughout the park. You can enjoy some of the outer limits of the park as well. The set up is rest and comfort throughout. Do not go on a busy holiday weekend though. The lines to the bathrooms were terribly long
I believe the large, covered pavillions can be reserved for groups.
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