What home printer is capable of printing on board book pages I am interested in making books myself for my child and for holiday gifts. ; I want to do it all myself and avoid going through a commercial printer. What sort of printer would I need to accomplish this? Would I have to print and then bind the pages afterwards?

I am looking to make colored children's books like Sandra Boynton board books. I have seen numerous third party services offering to do this  but I would like to attempt something in house. I do not mind spend a few hundred on printer but I cannot find any information on one that could put an image on thick boardstock.
After about a week of scouring the web I found a forum that mentions using an HP Photosmart Pro B9180. This is a semi-pro printer. It has an option for a straight paper path and can print on items up to 1.5mm thick which is enough for my 42pt paperboard media stock. 

It is no longer made so you have to go to the used market. Refurbished units seem to be about $400. Not cheap but certainly better than the $1000-20,000 pro versions.

Con: this printer is not for amateurs and guzzles expensive ink.