Try doing a "man lilo" on a box with manpages installed ...

You'll want to make sure that /etc/lilo.conf is up to date...
then, as root type:
# lilo
this updates the bootblock to point at the kernel specified in /etc/lilo.conf
It's probably best to put a new lilo entry in for your 2.4 kernel, and keep the 2.2 entry (and kernel files) around - just so that if you really hose your box, you can always boot the 2.2 kernel.
Also, copying just the stuff in /boot isn't enough. You've also got to worry about kernel modules (in /lib/modules/kernel-version) ...