If you decide to build a rack or drawers, "inserts" - plastic with evenly spaced little runners to support the disks - are generally available from hobbyist woodworking places. I found it cheaper just to chop up old commercial plastic racks that we had "left over" and mount them into wood frames. (We had some racks left over from previous efforts to find the perfect solution.)

Cutting slots in wood to keep the disks lined up requires some skill and is aided by equipment you may not have handy. In my case I used "end pieces" and "scraps" of pretty ratty wood that wouldn't have stayed together without leaving rather thick rails. Using dowels or other similar "separators" can waste a lot of space, if you're looking for storage for a lot of disks in small space.

Most people are a bit averse to buying something new just to chop it up, but it may be the most economical approach if you get the result that's right for you, esp. if there isn't a source in your immediate area for the rails-inserts.

John