Literary travel is for those interested in the places associated with writers and/or the places where writers have written their works and/or the setting of a famous or classical literary work.
Washington Irving's New York, Derek Walcott's St. Lucia, Ernest Hemingway's Cuba, H. P. Lovecraft's Providence, Jamaica Kincaid's Antigua, Yeats or Joyce's Dubin.
There are many literary travel guides that you can purchase, such as Around the World with Mark Twain, or A Literary Guide to the Harlem Renaissance, or Italy: A Traveller's Literary Companion, or James Joyce's Dublin: A Topographical Guide to the Dublin of Ulysses or The Complete Guide to Literary Africa
So how do you decide upon literary travel? Who is your favorite author? Find out if there's a guide to places associated with that author.
If not, read their works and take notes. Read interviews with the author. Create your own topographical guide based upon their works. You can also contact travel agents who's specialty is literary travel, so that they can help you with an itinerary.
You can do literary travel by specifically touring places of your favorite literary people, or if you are visiting a town or city or country you can find out about the literary landscape. Go to a local bookstore and ask whether they have any literary guides or literary maps of the writers of that city. Many bookstore owners can inform you of this information. You can also find out from the travel bureau or tourist bureau.
If there is not currently a guidebook of the subject of that author or that literary era, then you can write your own literary travel books or literary travel articles.