Congratulations - that’s great! I hope you really enjoyed the process of writing and sharing.
I suggest that you start sending the poems off to poetry magazines and see if one would like to publish any of them.
There’s usually a list of poetry magazines that are currently accepting submissions on the A Dreaming Skin website.
for each magazine, take a look at the poems they currently publish. (Look on their website and their Twitter feed, or go to the Poetry Library in London to see print magazines.) See which magazine publishes poems that you like, and that are like your poems. If you don’t like the poems, don’t submit to that magazine.
Then send your poems to each magazine that you like, following their submission requirements carefully. Some places ask for a submission fee of £2-3 for a certain number of poems, so think about whether you’re happy to pay that.
This is a good example of a cover letter and biography: theadroitjournal.org/2019/08/09/how-to-write-a-cover-letter-for-a-literary-journal-magazine-or-publication/amp/
Keep a list of the magazines you’ve sent each poem to.
You may have to wait up to 6 months to hear back from a major magazine.
If a poem is accepted, write to each of the other magazines you sent it to, to let them know that it has been accepted elsewhere, and that you’re therefore withdrawing it from consideration.
Meanwhile, start reading a wide range of poetry magazines and newly published poetry. Find the ones you like, and subscribe to one or two (or go regularly to the Poetry Library).
We’re living in a golden age of poetry publishing, so there are many, many poetry magazines, and even more poems being sent to them. Don’t be discouraged if you get very high numbers of rejections, especially when you start. Apparently Kwame Dawes said that you have to get 36 rejections before you can be disheartened. I think I got 35 rejections before my first poem was accepted - by a major journal.
I wouldn’t enter any competitions, which are expensive, until you know that your poems are reliably being picked out for publication in magazines.
I’ve mentioned money twice - poetry does cost, although much less than most hobbies, so I’d recommend deciding how much you want to spend on it in advance, and then sticking to your budget.
Very best wishes for your first publication! There’s nothing like the sound of that first magazine hitting your doormat.