In November, my 3 year old insisted on saving some lunch carrots in case he saw a bunny. I humored him and tucked the little package away in my pocket.
I was getting tired of carrying those warm carrots and just thinking of throwing them away when we "did" see a rabbit. Just like the OP said, on the way to tomorrowland. So my kids, politely and from a distance, fed their carrots to the little rabbit.