I know several people who have recently had poetry collections published by small presses or self-published. It's great to be published, but both of those situations mean that they will need to do some self-promotion.
Bigger presses will have a publicity person and ways of getting a book into the hands of reviewers, stores, and award judges and getting the poet into bookstores, events, and readings.
If the publicity and marketing is up to you, one place to start might be PR For Poets: A Guidebook To Publicity And Marketing.
In the book, Jeannine Hall Gailey, a poet, provides information about getting your book out there using both social media and some old media, like librarians and booksellers, and readers.
Visit our website at poetsonline.org