Linux as a DHCP client for Cox @ home

Ok, I have Red Hat 7.0 installed on my system at home ( AMD 486 clone 133MHz
- real ancient). I have the two nic cards up and running and now want to
convert one of them to a DHCP client.

My notebook (SONY Pentium II) is currently set up to dynamically get the IP
settings. I have the machine name COX wants me to use.

At this point I have tried connecting the AMD to the cable modem, set the
nic to DHCP and then rebooting - no dice.

Is anyone out there using COX, Linux and DHCP?

Stephen