Lyman woods is located right across from the home office building of my work, so I've seen the sign for the entrance and had heard of it quite a bit, and decided it was time to give it a try. No one had really prepared me for the adventure that was ahead.
First of all, it is a very beautiful place. It is set up so that there are different areas- oak woods, prairie land, marshes. I can imagine that it would be beautiful no matter what season you go, as there's enough variety that the leaves in the fall, the bare trees and ice filled swampland in the winter, the flowers in the spring, and all of the green life of summer will blow you away. A great spot for a nature photographer.
That being said, I would NOT recommend this place for families with strollers. There are NO paved trails. The trails range from dirt to small areas with mowed grass, and many parts include tree roots as thick as your arm. One of our strollers (the one for our oldest boy-who's almost 3) was creaking so much that I was afraid it would fall apart on the trail!
If you are just on foot, I think the trail would be a lot easier and more attractive. There are portions that get steep, but it's mostly level terrain. And for those people who work across the street, it's the perfect location for a quick stroll and picnic lunch (the picnic area is quite nice).
Overall we are planning to return, but not until the boys are big enough to walk on their own!