Hi,
You simply copy the sqlyog.ini file to new installations. All program settings and stored connections are saved here.
The sqlyog.ini file is in user's 'AppData' folder (what is a hidden folder, so unhide hidden folders from Control Panel… Folder options).
Paths to sqlyog.ini,
Windows 2K/XP/2003: Documents and SettingsUserApplication dataSQLyog
Windows Vista/2008/7: UsersUserAppDataRoamingSQLyog
Regards,
Navya