I use a couple of album suppliers, but the one that I want to use for binding my prints is Leather Craftsmen. So, the process would be that I would print the spreads or pages. So for a 10x10 album, I'd either print a 10" x 20" spread or I'd print two 10" x 10" pages. I number them on the back and ship them to Leather Craftsmen. Then, LC takes them and does all the binding work and covers it however I requested. I pay them for the cover and a cost per pages for the binding.
There are also a number of album suppliers that will send you a book with adhesive already on the pages. Still custom, but you bind the album yourself. I don't care for these as much as there is a small gap between the print and the edge of the book. Not a big deal, but not my preference.
Of course, if you are doing a matted album, you print each print for the size of each aperture. So, if the matted page has two 4x6 openings, then you'd print two 4x6 prints. These get sent to them for assembly.
So.. the print has to take the abuse of handling during the binding process.