Hi Jessica,
Thanks for visiting the Disney Parks Moms Panel with your question. My recommendation for the best way to get from the
Contemporary to
Disney Springs using Walt Disney World transportation would be to take the bus from the resort. The ride should be about 20 to 30 minutes, depending on traffic, but I'd allow at least an hour for travel time in case you have to wait for a bus. They are scheduled about every 20 minutes, and you will find monitors at the Contemporary bus stop that will let you know when the next Disney Springs-bound bus will arrive.
Once you get to the Disney Springs bus station, it will take you just about 5 minutes to walk to the restaurant.
If you arrive early, there's plenty to see in the immediate area of
T-Rex, including all the cool Lego sculptures and the Lego play area.
Please let us know if we can help with anything else, Jessica, including transportation questions, restaurant reservations and more. We love helping guests plan their perfect Walt Disney World vacation.
Enjoy,
Wilma