"Really pleased," Girardi said. "He's been great."
Giambi made just 16 starts at first last season because of a foot injury.
Cano had a three-run homer, and Cabrera hit a two-run shot during a six-run fifth against reliever J.D. Durbin that put the Yankees ahead 9-3.
Cano also had a two-run triple in the Yankees' four-run sixth off Vic Darensbourg.
Moyer gave up three runs and eight hits in four innings. He struck out three and walked one.
Pedro Feliz hit a two-run homer for Philadelphia.
New York starter Phil Hughes allowed three runs and three hits over five innings. The right-hander had six strikeouts and two walks.
"I felt good," Hughes said. "Fastball command was a thousand times better."
Tom Gordon struck out two in a scoreless eighth. The right-hander will fill in for injured Phillies closer Brad Lidge, who was placed on the 15-day disabled list to continue rehabbing his injured knee.
"Flash has been very good this spring," Philadelphia pitching coach Rich Dubee said. "He's very confident."
The 40-year old Gordon has been healthy this spring after being slowed by a strained right rotator cuff last year.
"My arm does bounce back really good," Gordon said. "The way I feel right now, I could go three (consecutive) days."
Lidge is pitching in minor league games and is eligible to come off the DL on April 5.
New York closer Mariano Rivera struck out three and walked one during a scoreless seventh.
Pat Burrell, who missed Sunday's game with flulike symptoms, was back in the Phillies' lineup and went 1-for-2 with a walk.
Yankees left fielder Johnny Damon was sent home with the flu. He might also sit out Tuesday's game.
