Joyce, the stroller friendliness of Aullwood Audubon varies. The nature center and farm discovery center buildings are of course very wheel friendly. There is also a short paved loop trail just off of the nature center that is fairly accessible, as well as some sidewalks and grassy areas at the farm. As for the Thomas Dambo exhibit, the trolls and nest are accessed via hiking trials that run throughout Aullwood's nature sanctuary and farm. These pre-existing hiking trails are primitive and unimproved; some are steep and can be muddy. Hope this helps!
Most of it is stroller friendly
The nest and "Bibbi" (the daughter) are on very short trails that should present no problem with a jogging stroller; you will be on both paved and unpaved trails for these sites. "Bodil" (the mother) is on a longer trail that is mostly unpaved and does go up and down a bit. I think "Bo" (the father) is on the most primitive of the trails if you are visiting purely to see the trolls. He sits strategically on a small hill in the middle of a small creek and we encountered a few short steep hills that even as grown adults we had to watch where we stepped as not to slip down the path.
I think a jogger stroller will be fine.
The buildings are stroller friendly and most of the trails would be passable as well. A few are paved, but not all.
Some areas yes but other no
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