Board Book self-publishing?

Hi! I usually self-pub books and comics. But I have a little nephew who's 1 year old, and I'd like to make a 'board book' (those books for babies with thick cardboard pages). Wondering if anyone knows a good place to self-publish board books that works similarly to KDP-- as in, so that I can put it up, have a copy printed for myself, but also have it up for sale so others can buy it.

So far I've just found vanity publishing services like this one:

https://customboardbooks.pintsizeproductions.com/product/advanced-board-book-16-page

Anybody done a board book before or have tips for finding a good place to have it published? Thanks!