This video shows the steps for replacing the air conditioner compressor clutch on a 2008 Chevrolet Suburban.
Parts:
Clutch Kit: Murray 47362
Main Serpentine Belt: Gates K060935 (6PK2374)
Compressor Drive Belt: Gates K040378 (4PK962)
Gear Puller: (Loaner Tool) Evertough 67020