Querying to publishers for children's books vs on-demand print

As a note, trade publishers* sometimes use print-on-demand technology, so when you're researching it'll clear the results better if you search for self-publishing options instead.

Children's books are a lot harder to self-publish and sell than other age groups because the kids themselves don't usually buy them. Which isn't to say it's impossible -- an author I really like self-publishes most, if not all, of his children's books, and he's doing pretty well if the sales ranks are any sign.

*people who pay you money to publish your book and publish it well. Also includes independent presses, sometimes, but don't get those confused with "indie" publishing, which is a confusing slang for self-publishing. Beware of a publishing company that calls itself anything else, especially "traditional publisher", "hybrid publisher", and "subsidy publisher."

I have an agent and I got her though the regular querying process. I never researched publish on demand because I knew I didn't want to self-publish. If you go to query tracker you can search for agent who represent children's books.