Using a device like a slingbox you can view recordings and live TV anywhere in the world, however your isp upload speed is likely to severely restrict quality. You can also use a V-Box to watch live TV and recordings anywhere.
You would have to use the box analogue outputs, which at a guess is composite video and analogue audio on the 4000T.
http://www.vboxcomm.com/uk-freeview-and-freesat.html
If your ISP regulary changes the IP address of your router you will need a dns server (I get a free one with my Asus router).