In the studio, I know ahead of time what I'm doing, and the potential sounds I need, and I select my drums and cymbals accordingly. I may bring a change of batters for one drum, but I try to keep logistics to a minimum. I don't want to carry a bunch of stuff, and there's seldom time for "How does this drum sound? How about this one? Okay, how about this one? And, now this? Okay, let's go through them again." I know the sounds my snares make, and the sounds I want, and if I need to audition them, I do that before going in.
Basically, I'll bring as few or as many as will make the tracks sound their best.
On local gigs, it's one snare. On tour, I have a second drum as a spare, because I play harder, more frequently, and am more likely to break a head during the show (although that's happened only a couple of times in the last 33 years on the road!)
Bermuda