I can highly recommend the Archos PocketDish. The device is very well built and the screen and audio quality is exceptional. I have the 500(e) model which has a 4.5" screen but they have one bigger if you want it. However, the bigger model (700, I think) does not fit in your shirt pocket very well and is a bit bulky all the way around. With the wonderful picture you get on the 500, I don't think a larger screen is really needed.
As Chuck said, the beauty of the thing is the ease with which DVR recordings are transfered to the device. I record a lot of operas on the Sirius Metropolitan Opera channel and it takes about 2 minutes to transfer the entire opera (audio only); a movie takes less than 10 minutes. Yes, it will not record HD nor does it support CCs but that aside, I can't imagine a better portable media device to compliment your Dish. This thing records everything, even from your record player - if you still have one - although these recordings are in real time. You can also download your music and photo library from your PC without additional software as Windows recognizes the Pocket right away as a portable device. Basically, the PocketDish is a hard drive with a screen. Media10 Player and Real Player also recognizes it as a recordable device.
I have a dvd recorder too but don't use it much anymore. First, you have to record your program to the dvr, then transfer it (in real time) to the dvd recorder. The only way to make it portable is to have a portable dvd player which is large and can not be easily carried. Anyone wanting to make portable any Dish recorded programs, along with virtually everything else, will find the PocketDish hard to beat.