I keep each eyepiece in its own bolt case (e.g., https://agenaastro.c...er-42x60mm.html) and transport the EPs I wish to use in the tool tray of the large, wheeled Stanley tool box that supports my Lightbridge. (Box holds cooling fans, charts, extra clothes, radio, power connectors, laser pointer, sometimes some wine, etc.) I use the same strategy for my ST80, except that its support tool box is much smaller.
The nice thing about using bolt cases is that they protect each individual EP, so the bolt cases can be dumped into whatever container is on hand. No need for a purpose-built box. Furthermore, it's easy to take an EP out of its case and to return it to its protective cocoon -- even in the dark. As such, I keep the encased EPs I'm using at the scope in a front-mounted fanny pack while I'm observing, knowing that they're protected from dew, dirt, and cold when they are not inserted in the focuser.
Having each EP in its own case means that I can create a purpose-built EP "case" on the fly to suit the needs of the observing mission, the font mounted fanny pack and the two tool boxes mentioned above being examples. Sometimes I even take my EPs on observing trips while leaving my own scopes at home -- when I want to use my EPs in someone else's scope.