Happy New Year, Gary! Thank you for bringing your question to the Disney Parks Moms Panel.
While there is not anywhere to store your belongings before entering a theme park, each park does have
lockers available to rent inside the park. Small lockers measure 12" x 10" x 17" and Large lockers are 15.5" x 13" x 17". Magic Kingdom Park and Epcot also have Jumbo lockers available which measure 17" x 22" x 26". I recommend measuring your child's safety seat to be sure it will fit in a locker, and also check the
park rules to make certain the safety seat does not violate the maximum bag size that is allowed into the park.
Because the thought of lugging a car seat around makes me feel a bit weary, I have thought of some other options for you. Car seats are not necessary on any of
Disney's complimentary Resort Transportation, so if you are staying at a
Disney Resort Hotel you may simply board any boat, bus, monorail, or
Disney Skyliner without worrying about a car seat. Other hotels in the Orlando area may also offer shuttle service to Walt Disney World Resort, so check with your hotel.
If you find Uber is your best option, I recommend leaving your child's car seat at your hotel and at the time you request your ride, select the Uber Car Seat option for a ride that comes equipped with a car seat.
While traveling within Walt Disney World Resort, a fun option is
Disney's Minnie Van service. Minnie Vans are requested and paid for through the Lyft app, and come equipped with up to two child safety seats. Scroll through the vehicle options in the Lyft app until you see Minnie Van.
I hope that helps! Please let us know if you have any additional questions. Enjoy your visit!
Anne Marie