I was usually a pitcher and first baseman with occasional outfield when I played. My other infield experience would happen only in infield drills during practice or pick-up games with friends. The first baseman's mitt was part of the team equipment. I had one glove for everything else - pitcher, outfield, infield practice. I never played at a high enough level to need to think about different gloves for every position. I was a decent enough athlete, but once I turned 16 there weren't many opportunities to play unless you were really talented. It was a big high school, so it was hard to make the high school team. There was a town team, but that was all the same guys that made the high school team. I tried out for both, but I was clearly not in their league.
I'm not sure how easy it would be to have different gloves for everything. Maybe it's the same as having four pairs of glasses (distance, reading, computer, sun)! I don't know. It's easy enough to adjust, but I lose them all the time. 😀