I use a Belkin 54g router with virgin media, don't know the model number though. I remember when I bought it there were directions at PC World as to which one to buy as the Belkin router with modem was not suitable. I suspect this might be the one you have being with BT Broadband. Cable is different and I think you have to use the modem supplied.
My router is connected to the Virgin Media Modem.
I am of course open to correction.