Here is how to save all of your teams.
You will need: Pokémon Showdown, USB Drive
Step 1: Plug the USB into you computer.
Step 2: Open Pokémon Showdown!
Step 3: Open the Teambuilder and select the right team.
Step 4: Select "Export".
Step 5: Copy the entire team and paste it onto a Word/Pages document.
Step 6: Repeat for every team.
Step 7: Put the Word/Pages document in the USB.
Voila! All of your teams in one spot.
If you don't have a USB drive: Do all of the above steps, but instead paste the teams into an email and send it to yourself.