I'd really hate it if someone wrote a poem to me. Even worse if it was a gift. I'd actually prefere no gift at all, than a (funny) poem or a song to be honest.

My tip is don't. Get small presents, or get nothing.

Just off the top of my head but I think you’re on the right path when it comes to sounding more eloquent. Poetry probably came from people messing around and playing with words to find what sounds interesting.

You’re already good to go on rhyming. So maybe just try for different rhyme schemes.

You might could also add other whatever-they’re -calleds like alliteration, consonance, metaphors, etc. Each of those are just a tools in the poet’s toolbox.

But what do I know!

Yea, choose a metric line, e.g., Iambic pentameter—really spice things up!

inside jokes are key

Read and listen to as much poetry as you can.

You could ask ChatGPT / Bing to help you. I think it does rhymes.

Aside from that... How does gifting poetry work out? Do people appreciate it?