It's funny, we get this question a lot. Our photo printer is an Epson Stylus Pro 4880. It's HUGE compared to our last printer and has to be connected directly to the computer, but its worth it. Beautiful prints. Especially, as we favor printing matte and not glossy in studio. We use the Epson inks and tend to use Epson papers, but not exclusively. It depends on the project.
To be printing at this level, we have learned quite a lot ... especially to be sure we have the latest paper profiles, they are very important and we have had to study color management more thoroughly to ensure WYSIWYG.