The rumored couple are "very low-key and stay home a lot"

By Emily Strohm
Updated May 03, 2015 03:10 PM
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Mike Coppola/Getty; AKM-GSI

Taylor Swift may be getting ready to kick off her six-month long 1989 world tour in Tokyo on Tuesday, but the singer and rumored boyfriend Calvin Harris made the most of their time together before she hit the road.

“Before Taylor started her tour, she and Calvin spent as much time as possible together,” a source tells PEOPLE.

“They seem to be on the same page. They are very low-key and stay at home a lot. They mostly hang out with friends.”

Some of their favorite things to do together?

“They cook at home, or order in,” add the source. “They seem to have a great time together.”

While the duo has kept a low profile when it comes to their budding relationship, they did step out together in March for a Kenny Chesney concert where they were spotted holding hands and kissing.

Another milestone? Harris meeting Swift’s cats, Meredith and Olivia.