Hi Lauren! As a dad of twins, I am so excited to hear that your twins will be experiencing the magic of the Walt Disney World Resort! Our twin boys were just about two years old when we took them for their first visit!
There are rides available in all four Disney Parks for your little Mouseketeers to enjoy! While I can’t list all of them here, those that come to mind immediately are
Mickey’s PhilharMagic (Magic Kingdom), Voyage of the Little Mermaid (Magic Kingdom), Peter Pan's Flight (Magic Kingdom), Buzz Lightyear's Space Ranger Spin (Magic Kingdom), The Many Adventures of Winnie the Pooh (Magic Kingdom), “it’s a small world” (Magic Kingdom),
Mickey and Minnie’s Runaway Railway (Disney’s Hollywood Studios),
Toy Story Mania (Disney’s Hollywood Studios), Alien Swirling Saucers (Disney's Hollywood Studios), Frozen Ever After (EPCOT),
Remy's Ratatouille Adventure (EPCOT), and so many more! Those are just the ones off the top of my head!
There is an entire section of the Walt Disney World Resort website
dedicated to helping parents of little ones plan the most magical vacation experience for their children! It includes a listing of rides available for the youngest fans of the Walt Disney World Resort!
Lauren, I hope your twins have the most amazing first visit! Don't forget to request "1st Visit" buttons at either your resort hotel or at the park!
Hakuna Matata! Jonathan