CROMWELL, Conn. — Justin Rose took care of winning his first major championship last week.

This week is more about enjoying himself and playing with the confidence of a U.S. Open champion, Rose said Wednesday.

Rose, who is now ranked third in the world, leads a field of 156 players at the Travelers Championship, on the par-70 TPC River Highlands course that invites golfers to try for birdies. Last year’s winner, Marc Leishman, shot a 14-under par, 266.

“It’s a perfect week for the week after a major,” said Rose, who won last week with a score of 1-over 281. “It’s got challenges out there, but the challenge is, can you go low?”

Rose said he planned in advance to play a three-week stretch starting at Merion, and loves the TPC River Highlands course, where he has three top-10 finishes in seven starts. But he acknowledged being a bit tired and said he might have to rely on the adrenaline of his U.S. Open victory to help him through this week. He arrived Tuesday night after a flurry of media appearances in New York.

“I was doing my best to try to soak in being the U.S. Open champion,” he said. “Went on some great shows I’ve seen on TV, and then to be part of it, is a slightly surreal moment too.”

He said he’s also looking forward to getting some sleep, some regular meals, and spending time with his children for the first time since hoisting the trophy on Sunday.

“They couldn’t care less about the big shiny trophy in the house, to be honest with you,” he said. “My little boy for Father’s Day made me like a clay trophy, which he colored in. So I told him that was my favorite trophy in the house. So he’s good.”

Rose, who is now ranked third in the world, is one of just six top-20 players in the Travelers field. The others are Lee Westwood (12), Keegan Bradley (14), Jason Dufner (17), Ian Poulter (18), and Bubba Watson (19).