K.F.
Hi L.,
I would highly suggest to check out all the forest preserves and parks in the area. As Bethany said, Wheeler Park is really nice and there's also Memorial Park in Batavia that has 2 parks for different ages, covered picnic area, great parking. If you go to
http://www.bataviaparks.org/park21.htm. That's the website for it through the batavia park district and from there you can also look through all the differnt parks and facilities in the area. I believe that they also have places to rent.
Good luck,
K. :~)