One of the best things about going to Disneyland with a young family is how accommodating it is. Everywhere you go in the park there are designated parking areas for your stroller. 
You are able to park your stroller and jump in line for a ride. This makes this theme park the top destination for family (with small children.) I was a little hesitant to leave my stroller out in the open but most of the larger parking areas have attendants that line the strollers up neatly. I also would recommend taking your valuables on the ride with you, for obvious reasons.