Yes, the path around the smaller lake is completely paved for casual use or specifically for strollers. You'll also find a variety of wildlife and it's all under trees.
The trail that goes around the lake (the small lake) is paved, at least the part I walked (the half on the dock side). You could definitely use a stroller.
Most of the trails are flat but not paved. You could walk by the roads through the park
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