Definitely a few tables near the entrance and if you take the walk to the T-Rex in the back, they have a few benches there as well. Be warned that the T-Rex area is in the open and barely any shade, got very hot.
They have a nice little picnic area with tables right near the playground. Its shaded from the sun and right by the bathrooms.
Yes, there are tables and chairs at the back of the entrance, in front of the museum
Yes you can bring in food and in the playground area there are picnic tables that have shade
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