I biked through that area going south from Liège a long time ago. It was fairly nice, as I recall. You start getting into some decent hills in the Ardennes as you go south, which is a good thing, as far as I'm concerned. Anyway, I did a little search for cycling clubs in Liège province and perhaps the following link will help you:

http://www.plgsports.be/clubs/clubs_...=21&menu=clubs

That link is for road cycling ("cyclisme"). If you prefer a touring club, search with "cyclotourisme" in the page which this link displays. You can also try some of the smaller towns in the province besides Liège.