Briere, Kurtis Foster and Braydon Coburn each tallied in the first period while Giroux and Mike Knuble iced the contest with second-period scores for the Flyers, who halted a three-game losing streak.
Ilya Bryzgalov turned aside 39-of-42 shots for Philadelphia.
The Hurricanes got goals from Patrick Dwyer, Joni Pitkanen and Eric Staal but still fell for the second time in three contests.
Dan Ellis lasted until 6 minutes into the second period before he was pulled from the net, allowing four goals on just 12 shots.
Cam Ward mopped up with 11 saves for Carolina.
Exploding whale video goes viral on Internet
Gal Gadot cast as Wonder Woman for 'Batman vs. Superman'