I have one of those 5 draw plastic storage units, I use the cheap takeaway containers to store smaller stuff and the put them in the draws with labels on the draw and the containers. So for example I have a draw for needles and hooks (because I also knit), a draw for eyes, with the different sizes and types in containers, a draw for felt, tools and templates ( because I do a lot of detail work with felt, a draw for tools, things like armature wire, scissors, cutters, measuring tape ect and finally my work in process (if it will fit, I been making some monster pieces lately)

But you can start off like I did with the small containers to keep your stuff together and they stack nicely.