Just had to build a rack to store the lathe tools on. It will lift off the post and can be set on a table. But is will also spin around on the post so you can turn it to get to the tool you want. After selecting tools for the project they can be laid on the top of the drawer unit just below the lathe bed.
I had some carving tools that I found work good for the very fine detail on some things. So I just added racks to the front for them.
Then I ordered some calipers sets too, and they fit nice on the ends of the rack. Working out as a nice way to keep a lot of tools available.
The new rack I now use. It is about 12" deep and 24" long.