Hi, Nancy! Welcome back to the Disney Parks Moms Panel.
It definitely sounds like you have a fun-filled day in store! While there is a
direct bus from Epcot to Disney Springs beginning at 4 p.m., I'm afraid you'll be late for your
T-REX reservation if you use it. Typically, you should allow at least an hour when traveling between destinations within the Walt Disney World Resort (including time spent on a Walt Disney World Bus and walking to your final destination). Located in the Marketplace area of
Disney Springs, T-REX is about a five-minute walk from the Town Center bus stop.
A couple of other options for you to consider include exiting
Epcot through the International Gateway (in between the France and United Kingdom pavilions) and walking to
Disney's Beach Club Resort to catch a bus from there. Buses generally leave the Walt Disney World Resort hotels every 20 minutes, and there will be a direct route from there to Disney Springs. Another choice would be to employ Disney's
Minnie Van Service. Using your smartphone and the Lyft app, it's super easy to request a ride from and to anywhere on Walt Disney World Resort property. The only issue with the Minnie Van Service is that each van can only accommodate up to six guests. With seven in your party, you would need to request two vans.
Hopefully one of these solutions will help you make it to your reservation on time, Nancy. Please let us know if there's anything else we can do to help.
Amy