I long hated writing, and like you only wrote in block capitals, until I decided to re-learn to write cursive. Mostly I wanted to be able to write sweet paper notes to my lovers that didn't look like a 5th grader wrote them. I've found that when the process is approached as art, maybe even meditation, it's far more pleasurable than an act simply meant to record words on paper.
I wooed my wife with my handwritten letters... Thirty years ago. Of course, these days, I'm also her wife, and my handwriting isn't so good anymore. But my Remarkable 2, after the latest software updates is remarkably good. Now I wish we could reconvene our RPG club from thirty years ago, because it's the best RPG notes device I've ever used, better than paper, because it's more flexible.
Anytime I write in print, I'm slow and janky but cursive seems to flow out of my hand. By default, it's not very legible except to me but I actually appreciate how it looks and it's easy to focus it when writing to someone else. Cursive definitely flows much easier than print. My only gripe with writing in general is that writing left handed excludes me from about 92% of pens that will streak under my hand.
Being left handed, you've probably found this, but the Zebra Sarasa Dry is what my left handed daughter uses. It's the only cheapish pen that she likes
I've done it twice in my adult life. The first time, I was unhappy with my block capitals, and looked up the letter form references for architectural block lettering, and spend a few hours over a week or so just practicing letter forms. I, in a very literal way, installed a font in meatspace :)
Cursive I think is really more just about getting a feel for the flow of script. There are some technical aspects, like the letter forms themselves, and the rules of joining them -- not all letters in a word can or should be joined, which is obvious to long-time cursive users but was not to me!
But mostly it comes down to knowing the letter forms, and then just using cursive. Write a dear friend a sweet note. Write a couple pages in your diary on occasion. Your forms will become clearer and will flow better with practice. Embellish! Draw huge risers and tails on your letters and pretend you're writing in elvish or something. haha.
I worked for about a month a few years back to improve my writing. I just found an example of handwriting I liked and would spend time each morning copying individual characters, then words. Very slowly at first, then it became natural. My handwriting has slipped since then, seems to be something you need to keep working at from time to time.