Miley Cyrus, Patrick Schwarzenegger

Juliano-FK-Rol/X17online.com

The couple who runs errands together, stays together.

Miley Cyrus and her cute beau Patrick Schwarzenegger were spotted getting some Christmas shopping done on Rodeo Drive in Beverly Hills on Tuesday, and the casually clad couple weren't shy about flaunting some PDA during their shopping trip either.

An eyewitness tells E! News Miley and Patrick walked hand-in-hand as they shopped, and "appeared happy and seemed to be great moods. They are really affectionate with one another. They look like a really happy couple."

There's no word what the two lovebirds are getting each other for the holidays, but rumor has it Miley has been working on something creative for her boyfriend. According to Us Weekly's latest issue, Cyrus has been writing and recording a new song dedicated to Schwarzenegger—awww!

The duo have also been giving back to the community as well, and recently showed up to Brooks Brother's shopping event benefiting St. Jude Children's Research Hospital in Beverly Hills on Saturday afternoon.

Although event organizers didn't know the twosome was attending, a source told E! News at the time that they showed up around 5:30 p.m. to show their support for the worthy cause.

"They were holding hands and didn't want to take photos together," the insider revealed. "They were very nice and took photos with the DJ who is Oscar Adler." They also chatted with actress Joey King before leaving.

—Reporting by Michelle Falls

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