We went last May and I don't believe that they allow strollers. We just rode over and then got in line again and rode the skyfari right back, because we didn't want to try to go anywhere without the stroller. My advice is just to make sure that you have plenty of water. It's hard pushing a stroller up all the hills. We have annual passes to our local zoo and it's got some great exhibits. So we made sure that we hit the animals that we can't see here (pandas, koalas, etc).
Good luck