Step 1. On your Dashboard page choose the public board you want to move by clicking on the 3 dots icon (ellipsis)
Step 2. Choose the option “Move”
Step 3. Select the team that you want to move your board.
Final Step. Now click on the button “Yes, move it!” to move your public board to a team board.
Note: It´s important to remember that after moving a public board to a team board the URL of your previous board will change.