To run BabelMap automatically each time you start Windows, copy BabelMap.exe and paste as a shortcut in your Windows Startup folder (C:\Users\YOUR USER NAME HERE\AppData\Roaming\Microsoft\Windows\Start Menu\Programs\Startup).* Then append "-tray" to the target of the shortcut (right-click on the shortcut, select "Properties" and add "-tray" after the target). Now whenever you start Windows, BabelMap will be available in the system tray (notification area) on your Windows taskbar (you may have to configure taskbar notifications to always show the BabelMap icon, otherwise you may have to expand the notifications to see it). You should enable the "Close to System Tray" option under "Other Options" on the Options menu to ensure that BabelMap closes to the system tray when you press the "X" button on the right of the title bar (otherwise BabelMap will only close to the system tray if you select "Close to System Tray" from the File menu).
* NB the AppData folder is invisible unless you set the File Explorer option to show hidden files and folders or check "Hidden items" on the View menu.