Buddys LED project-part 2

I have some better resistors on orders for my project so in the mean time here is another question for those more experienced.

I have read about putting code from an Arduino on to AT Tiny ICs and I would like to do that as well so I do not tie up my Arduino. I am planning on cloning my project so it would be better for me to have a way to "Shrinkify" (using Make Mags DIY project).

In my project I am using 8 outputs plus the clock pin, as well as the power and ground.

Will a AT Tiny IC do the job for me and which one should I use.

Thanks!

Buddy