The long, stiff fluffy cleaners for saxophones are called padsavers. They do clean and dry the inside but should never be left inside the instrument. They are also difficult to clean. Small, stiff brushes should not be used, especially if the bristles are held on with twisted wire; they are for brass instrument metal mouthpieces.
Your library and librarians are a great free resource for recorded music, music history books, and print music. Throughout the year, library book sales offer an economical way to acquire books and print resources to help your music practice and provide inspiration.