There are any number of flavors of fuzz. The ones most commonly associated with Gilmour are the Big Muff, which sounds best into a clean amp, and the Fuzz Face, which sounds best into an overdriven amp. Fuzz Faces clean up nicely, but tend to have a more corpulent low end. Many FF derived circuits have bias knobs and or/EQ options to make them more versatile.
There are also any number of additional circuits:
The Fuzz Face is based on a MK 1.5 Tone Bender. All the other Tone Bender circuits (MK 1, MK 2-4) are gainier and middier than Fuzz Faces. MK 1 & 2 are two-knob fuzzes. MK 2 is the gainiest and is considered the classic, although for Gilmour sounds, I'd probably go for a MK3 (my understanding is that MK4 is essentially the same). MK3 has a filter knob to adjust EQ, and can venture into near-Muff territory. My favorite Benders are the Magnetic Fx Solar Bender and the Fulltone Soul-Bender.
This isn't necessarily a real fuzz, but a Rat pedal is good for a middy, sustaining lead sound. It gets plenty fuzzy.
I generally use a DOD Carcosa a lot. It's a jack of all trades, master of none, but it can really jack.
Really if you want to look into fuzzes, check out some YouTubes of different kinds of fuzzes so you can familiarize yourself with all the possible sounds.