[CentOS] Removing custom kernels?

Is this possible. I did my first one yesterday in order to get my iPod
mini to work with the EL kernel. It worked well. Everything went
smoothly, but I don't like what I named it. So I'd like to take one more
shot at it. If I do, is there a way to remove the old one cleanly?
Modules and everything.

Also, if do recompile the kernel again, do I need fresh source, or can I
just do a make clean, rename the setting in the Makefile for the name,
then go through all the usual steps.

Thanks,

Preston