For the hard copy, I published using CreateSpace. It's a very simple process, so I probably don't need to elaborate unless someone requests it. I created the book in InDesign, then exported to a pdf. If you don't have this highly expensive industry-grade software, you could go through the annoying but do-able process of pasting your images in a word document. Like other online self-publishing sites, the vast majority of Create Space users write print books, not totally illustrated books. Producing full color children's books seems like a big deal, but pasting cartoons onto a page was a very easy and under-exploited process.
Creating the eBook was a more interesting process--I hinted as much in a previous post. I used Kindle Direct Publishing to upload the eBook (CreateSpace offered to publish to KDP directly, but only with the same pdf I used to create the hard copy--that would never work). After much ado wrangling with epub conversion, I opted for simple html. Here is the code I used, please feel free to do the same:
Just keep copying and pasting the image line and pagebreak, and rename the image. Done!