@Melissa_Bailey I've never seen that website! Thanks so much for sharing!
I worked with a hybrid publisher for my, "How to Draw Adorable" book. They are on the website that Melissa shared and rated as "excellent" I have had a very good relationship with them thus far but hybrid or self publishing is NOT for everyone and as Melissa mentioned there are a lot of "hybrid" publishers that are really just vanity presses that charge you large sums of money, take most of your profit and don't do anything but submit to Ingram for you.
With my publisher I paid the upfront costs and even a fee to them for their services. But I own the copyright to all of my books, and I take a VERY high percentage in royalties. They brought my book to book buyers, got my book in bookstores including the Museum of Modern Art gift shop where it sells great, they handle all printing, storage of my inventory, shipping and customer care and even provide me with a publicist. They helped me get placed in book awards (which is how I won an award). They've arranged influencer outreach and giveaways on my behalf etc.
They told me how many pages I should do, and the price point to sell at, and made recommendations for paper quality, book dimensions etc. although I was allowed final okay. They would have done the design but I chose my own designer. They also had an editor for me.
Any books I sell and ship on my own (like my kickstarter or when someone shops my website) I keep %100 of the profit.
I was able to use my kickstarter to pay the upfront costs but it is still a large investment that I had to put down to order books and get it designed and I won't know until April what profit I've actually made 

. However I was confident I could use my own social media presence to sell books and that I would be working my booty off to sell the books and I wanted most of the profit but didn't want to deal with the other responsibilities of self publishing.
For me for THIS book it was a great choice. I do not think I would choose that for a children's book which is a much trickier market to make a profit in anyway.
But right now my book is doing great and I'm happy to get most of the reward. It was worth the vet high risk and investment for me. Anyway just wanted to share Incase someone else wanted to know about hybrid publishers as I've had first have experience