Alberto E. Rodriguez/WireImage
May 13, 2015 06:45 PM

Robert Pattinson is 29-years-old, engaged, and by all accounts having the time of his life.

The Twilight star, who celebrated his birthday Wednesday, has been having a blast with his singer/songwriter fiancée FKA twigs.

“They are very cute together and have great energy, Rob seems very happy,” a source tells PEOPLE. “FKA seems to be a great fit for Rob.”

Pattinson enjoys showing twigs (n e Tahliah Barnett), 27, around his adoptive city, and they both “seem to enjoy the same things.”

The health conscious Brits, who seem to be living together at Pattinson’s Beverly Hills home, have also been working out “almost daily” with celebrity trainer Harley Pasternak, and “enjoy walks around Venice Beach.”

Pattinson and twigs are “generally very active,” the source adds. They “both seem to enjoy staying fit.” On Monday, the lovebirds were spotted hitting the gym together, with twigs showing off an impressive 6-pack.

The couple is also “involved with charities,” says the source. Last week they attended an event to benefit earthquake victims in Nepal.

When they’re not out on the town, the duo spends “quiet nights with friends and often have people over for dinner at Rob’s.”

On Tuesday, they were spotted out in New York City, enjoying a stroll through Little Italy. Dressed casually, they enjoyed a quiet dinner at Lovely Day before heading back to their hotel.

Pattinson and twigs made their red carpet debut together at N.Y.C’s Met Gala where twigs sported her much buzzed-about engagement ring.

The couple, who started dating in September and got engaged in April, are said to be planning a low-key wedding this summer.

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