Your configuration is probably quite common; I use the very same arrangement myself. Here are the config files I use for each NIC.
# more /etc/sysconfig/network-scripts/ifcfg-eth0
# Please read /usr/share/doc/initscripts-*/sysconfig.txt
# for the documentation of these parameters.
# more /etc/sysconfig/network-scripts/ifcfg-eth1
Note the 'BOOTPROTO' records in particular. I have two identical NICs in this installation, and the 'HWADDR' records seem to make the drivers consistently associate with the correct NIC. If your NICs are of different make/model, you may not need those records in you config files. You will, of course, need to substitute appropriate local values for your installation.