You will see areas where there will be a ton of strollers parked. Usually it is right outside the entrance to a line for one attraction, or in some cases, a general area for many attractions. Be sure to somehow mark yours so that you can find it easily. I took a bright yellow bandana, ironed on some bright blue letters spelling out our last name and pinned it to the sunshade. When I parked the stroller, I flipped the sunshade open and when I came out to find it, I was able to spot it immediately. Others have used balloons, yarn, etc. Be sure to remove any valuables from it as well. Ive left wipes, diapers, jackets, and snacks in ours with no problems. I wear a large waist pack to carry all my cameras, wallet, autograph book, pen, small souvenirs (I usually save the shopping until the end of the day, or have it sent back to our room when staying onsite). Another tip-if you know the exit to the attraction is far from the entrance, park your stroller at the exit to save yourself from backtracking. Spaceship Earth is like that, and then there are two exits-one on each side. I always end up going out the wrong one!
As for restaurants, as the others have mentioned, if its crowded, forget it. Other times, if my son was sleeping, they would let me bring it in (nothing worse than waking up a kid while you eat). If you have an infant, try using a carrier (I have a Hotsling) to cradle your baby while you eat. Theyre also good for standing in lines when you cant have your stroller (dont think Ive come across a ride that you can use your stroller in line).
alison