Pardon my intrusion, but I know that I'm among experienced talented writers here, and I finally finished my book, and now I have no idea how to get it off the ground to be published. Any thoughts?
Firstly, you should find a few people who are knowledgeable about poetry and the language you intend to publish in. Prefferably 3 persons and let's say it is English. You want to them to determine if you are using correct grammar and punctuation, and these persons can also alert you to any mispellings while they review.
The reason for the above is to ensure that what you are communicating is getting across to your readers. This is crucial if you're the type of writer who is concerned with how your poems are being interpreted. If readers are drawing bizarre conclusions about what you are saying, improper use of English may be part of the problem.
Even if you write masterfully with English, your readers may still have trouble understanding what you are saying. Your reviewers having a knowledge of poetry can point out areas where you can make improvements. If you aren't concerned with how your work is interpreted, then this step isn't as crucial.
Once you've done the above, then decide if you want a publisher or you want to self publish.
And if you've done the above, a publisher won't reject you based on the quality of your writing. A rejection will then likely be based on originality or there simply being too many poets and not enough publishers at the moment.
Your reviewers can help you determine if your poetry stands out in the crowd or gets lost within it.
If this is more of a hobby for you in which you'd be satisfied with just supplementing your income while sharing your writing with friends and family, do the above and consider self publishing. Then not only will you be published, you'll have a record of your sales as proof to any publishers that your poetry is selling and there is a demand for it.