There's a detailed section on cleaning the printer innards in the manual (if you've lost your printed copy, it's available as a PDF for download as well).
In a nutshell, Epson recommends opening the front feed tray and using canned air to spray the particles out the rear of the printer. Combine this with Rich's preventative measures and your problems should be a thing of the past!
Also, the "shedding" paper bits can collect on the feed rollers and cause loading problems. If that happens, you can buy a pack of cleaning sheets. I think it's around $7 for 3 of them.