I'm not sure if this will work but it might!
You could purchase another common-or-garden remote control for use in the kitchen. This will transmit remote codes that the TV-Link will understand. Then at the STB end you'll need a device called a Red-Eye to convert these to the special protocols used by these cable boxes.
More details here:
http://www.redremote.co.uk/
and from another member, Mike Harrison.
http://www.cableforum.co.uk/board/member.php?u=553
Alternatively, you could do the same job wirelessly using a Digi-Eye remote control extender instead of the TV-Link:
http://www.homeautomation.eu.com/product/29