Hello Gabriela!
I love staying at
Disney's All-Star Movies Resort. I love the theme of Disney movies that this Resort has! I love using the
Walt Disney World Transportation System to get around "the World"!
I love using the International Gateway to get to World Showcase because it lets Guests into Epcot between the United Kingdom and France Pavilions. Since you are trying to get into Epcot for an early morning Advanced Dining Reservation, it might not be accessible using only the Walt Disney World Transportation System. I will make two recommendations that I typically use to get to the International Gateway. The first would be to take a Lyft or an Uber to
Disney's Beach Club Resort and then walk to the International Gateway (about a 5-10 minute walk depending on how fast you walk). The second way would be to take a Lyft or an Uber to
Disney's Caribbean Beach Resort and then take the
Disney Skyliner from there to Epcot's Skyliner Station, which drops Guests off near the International Gateway. The third option, using only the Walt Disney World Transportation System, would be to take a Disney Bus to Disney's Hollywood Studios (this park needs to be open) and then take the Skyliner to Disney's Caribbean Beach Resort. Once at Disney's Caribbean Beach Resort, transfer to the Skyliner that is going to Epcot. This route could take more than 60 minutes, so if you are tight on time, the first two options would be better for you.
I hope that your upcoming Walt Disney World vacation is magical!
Marc L.