I would like to load either GRUB or LILO, but I don't know if this is possible without reinstalling Red Hat.
Yes, it is possible. I recommend that you install grub. First make sure that you have the grub package installed. Use the command:
rpm -qi grub
to see if the grub package is installed. If not then install the grub rpm package from your install CD.
Then configure /boot/grub/grub.conf
Here are some links about how to configure grub.
http://www.gnu.org/software/grub/manual/grub.html
http://wiki.vidalinux.com/wiki/index.php/Grub
After you have grub.conf configured you can install grub on the MBR with:
grub-install /dev/hda
(assuming that your boot disk is hda)
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Steve Stites