Over the years Buddy used a few different kits, including Ludwig, Vox, Rogers,  but he mainly used Slingerland. He also used a Fibes snare drum which can be seen on the album cover of Live At Ronnie Scotts. As I know he always used the same size equipment. And the same set up. Except for the large swish cymbal he added later on in his career.

14" X 24" bass drum (I've heard he also used a 26" sometimes)

9" X 13" tom (mounted on a single 'Set-O-Matic' holder)

Two 16" X 16" Floor Toms.

Snare Drum 5" X 14",

Chrome Cowbell

Ludwig speed king bass drum pedal or Rogers Swiv-o-matic pedal.

Wooden Bass drum beater.

Zildjian Cymbals

14" New Beat Hi-Hats (medium top, heavy bottom)

18" Thin Crash (on the left)

18" Medium-Thin Crash (on the right)

8" Splash (also used a 6")

20" Medium Ride 

22" Swish(on the far right)