Ireland for 8 nights seeing Dublin, & south and then on to Cliffs of Moher

Guidebooks list all of the favorite things to see. Personally, I could list 5-6 things in each of the areas you mention. We can't guess what your interests are, so you need to be the ones to narrow down the list.

Give us an idea of what you like, do you mind driving, where do you start and stop trip, Shannon or Dublin?