If your child is young enough to still use a stroller, then absolutely. There's typically a lot of walking involved on a zoo trip, and your little one is very likely to get tuckered out.
Bring plenty of food and things you all enjoy, like board games or other multiplayer activities. The rest depends on the type of place you're going because you will need...
Plan ahead for fun activities that your kids may enjoy. For instance, you might stop by your child's favorite animal exhibit, or stop to watch certain animals get fed.
Have at least three comfortable outfits, but wear something comfortable underneath. It's a good idea to bring a couple extra shirts and pants as well. Better safe than sorry!
To prevent the stroller from rolling down, have it facing the same way you would have it if you were going up the escalator (behind you instead of in front...