My lathe came with 5 chucks. 3", 5" & 6" 3 jaw chucks and 6" & 8" 4 jaw chucks. I bought another 8" 4 jaw chuck for $40 at an auction. Swapping the jaws around is time consuming. So I like to have one chuck in each size with the jaws reversed. The 5" chuck and one of the 8" chucks have the jaws reversed. I would like to get another 6" 4 jaw so I could have the jaws reversed on it. I also have an 8" face plate, an ER32 chuck and a drill chuck that fits on the spindle.
The lathe bench top is 71" long by 30" deep. Based on the responses so far I am considering 3 different ways to store the chucks. One is to make a lazy susan that would be located just under the bench top at the headstock end of the bench. 2nd would be a sliding shelf also just under the bench top at the headstock end of the bench. The third possibility would a rack on the bench top at the tailstock end of the bench. This would have to have a cover of some kind to keep swarf/chips/whatever off of the chucks. The rack on the bench top might be the handiest to use and the easiest to make.
Thanks for all of the suggestions. Keep the ideas coming.