All the symbols in the ‘Symbols’ panel will be saved as a library of your very own. Done!
Isn’t that cool? Sure it is.
Other Options and Things to Ponder
You can access your Symbol Libraries in the Symbols panel menus and also by going to the ‘Window’ menu and scroll down to ‘Symbol Libraries’, then choose from the preset libraries supplied by Adobe or select one of your own by choosing ‘User Defined’ or ‘Other Library…’. (see Fig.6 below)