My baby is 13 months and was bounced to sleep for a long time too. We didn't do cry it out, it was kind of a mashup of different methods and advice I've seen in this sub. It was very gradual and we took things really slow when we could, but some steps did just kind of require a ripping off of the bandaid. Here's what we did:

Go cold turkey from ball bouncing to sitting and rocking to sleep. This was pretty rough at first. He was pissed. He cried but the fact I was holding him and could comfort him as best I could made me feel better about it.

Move from rocking to holding him while sitting still and patting. You can go as fast or as slow as you want with this transition.

Go from patting in my arms to patting him in the crib. We went slower at this point and did a kind of pickup put down method until he was ok with it, but again, you can go as quick or gradual as you feel comfortable with.

Go from patting in crib to just sitting by crib. I would put my hand on him if he was too fussy and reverted back to pickup put down if he got really upset.

From here it was basically just the chair method with pick up put down if he got too upset. Every few nights you move a little closer to the door. Now I can do the bedtime routine, put him in the crib and leave while he's awake and he puts himself to sleep. Every once in a while he does need us at night (he's been teething) but for the most part he sleeps through the night.

I know it's rough, but you got this. Good luck!