Is there an easy way to keep a list of the books I've checked out?
Have I already read that?
Yes. The library catalog can do all kinds of things for you - if you want it to.
You can choose to set your library account to keep a history of the books, movies, and other materials you check out. Your list is private, guarded by your library card number and PIN, and you can always edit it or delete it if you want.