Peter,
Namaste...
William Rand has a manual for Karuna 1 that you can probably get on his site. The book contains the symbols where Laurelle's book does not show them. That is the obvious difference.
She goes more into her personal experience with Karuna where Rand's manual is just that...a manual. It is fine in of itself, but for further reading, her book is a good addition.
Of course, working with the energy is always the best teacher. Are there any reiki shares near you that you can get valuable feedback from other practioners, or perhaps start one of your own? For me, this is one of the best ways to grow in understanding of reiki, Karuna or otherwise.
I hope this is helpful...
:-)
Abundant blessings,
Mammabear