Angelina Jolie & Brad Pitt Arrive in the Galápagos Islands

04/18/2012 at 01:15 PM EDT

Forget Disneyland – now that Brad Pitt and Angelina Jolie are engaged they're off to the Galápagos Islands off the coast of Ecuador.

"We were informed that they arrived at the airport in Baltra yesterday," a source in the mayor's office of Santa Cruz tells PEOPLE. "Then they made their way over to a villa in the Galápagos Islands."

Their destination is reportedly the exclusive Royal Palm Hotel, and they arrived in style, first to Baltra, Ecuador, on a private jet – and then, according to Ecuador's El Universo, on board the Reina Silvia, one of the area's most luxurious yachts.

PHOTOS: Brad Pitt and Angelina Jolie's Top 10 PDA Moments

Local Twitter users posted photos of the couple arriving on the archipelago, a historic stop of Charles Darwin, which is now famous for its eco-tourism and a UNESCO World Heritage site.

Jolie, who has long worked with the United Nations, recently received a promotion to the position of Special Envoy of High Commissioner António Guterres.

The trip was first reported by X17online.com.

• Reporting by CHARLOTTE TRIGGS

Angelina Jolie and her children land in the Galápagos Islands

Courtesy Andres Ayala

For much more on Brad and Angelina's engagement, including wedding dress sketches from top bridal designers and an inside look at the couple's relationship, pick up this week's issue of PEOPLE, on newsstands now