Hey there, Lindsay!
Welcome to the Disney Parks Moms Panel!
Walt Disney World is, of course, a family friendly vacation destination! Once you arrive on the property, you will join in with many families who have single and double strollers!
Disney's complimentary transportation accommodates for family's with small children who require strollers. My family is one of those who can't visit any of the theme parks without a stroller!
Cast Members that drive the buses, boats and Monorail are quite courteous when strollers arrive to board.
When boarding a boat/ferry or bus, your small children will need to exit the stroller for you to fold it to allow as many guests's to board. Different from the buses and boats, guests are allowed to leave children in their stroller while riding on the Monorail!
So, don't worry about having enough space on the bus or boat, other guests are very nice and willing to make room for you, your children, and the stroller! So bring that stroller along everywhere you go! We never visit Disney without ours!
I hope your little ones enjoy their visit! If you have more questions before your upcoming trip, please visit with us again!
Wishing you magic and memories,
Korliss