best shampoo and CO for frizzy colored hair?

I have medium brown, normal type hair (not too fine, but not too thick either) that is naturally frizzy and curls at the ends when my hair is at least shoulder length. My hair is about two inches past my shoulders right
now. Last December I permanently colored my hair. I used Revlon ColorSilk in "Black" which seemed to make my hair look even more frizzy and damaged . Right now my hair is black with about an 1 inch medium brown roots. I am planning to remove the black permanant color from my hair and then dying my hair dark red using a professional demi-permanent color. I am also planning to get my hair cut chin length. My problem is that I do not know know what would be a good shampoo and conditioner for me to use after my hair is dyed with the professional demi-permanent color since my hair is frizzy.

 

What is a good shampoo and conditioner for demi-permanent colored hair that is frizzy?