Robert Pattinson is on the road with his new girlfriend, British singer-songwriter FKA twigs, as she travels around Europe on her current concert tour.
Spotted arm in arm in Paris on Tuesday, "they seem very comfortable with each other," a source tells PEOPLE. "They're very cute together."
The 28-year-old Twilight star – described as "smitten" by a friend – is in the City of Light to accompany the 26-year-old artist (real name: Tahliah Barnett), who was set to perform at French venue La Maroquinerie on Tuesday night before heading to a concert in Amsterdam on Wednesday.
Before the performance, the couple indulged in some shopping in the trendy Marais district.
"They were trying things on, making suggestions to one another, and he seemed to be really having a good time," says the source. "He looks like he's really in love."
And eager for an outfit do-over: At one point, Pattinson swapped out his bomber jacket and beanie for a newly purchased dark wool trench coat and ball cap.
"This is the most comfortable I've ever seen him," an observer says of the British actor, who recently opened up about his 2013 split from longtime love Kristen Stewart.
"It's like he is in a normal relationship, enjoying it," adds the source. "Honestly, it was miles and miles away from what it was like when he was with Kristen."
Pattinson and twigs were first spotted together in early September, and last month twigs responded to online bullying she'd received about their relationship.
The talented up-and-comer "is ridiculously cute," says the source. "They're both real, real, relaxed with each other."