Sound deadening underlayment or concrete board or both?

I just moved from the second floor of my two family home to my first floor.
We haven't got a tenant yet and I am going to put some prefinished bamboo flooring in the dining room and hallway and some carpet in a bedroom above my bedroom.

I want this to be as quiet as possible and yes, I know carpet everywhere will be the best, but I want wood in the common area.

LumberLiquidators wants fo sell me some bellawood underlayment they claim reduces noise by 70%.
From what I read I need mass.... concrete board.

Will concrete baord be better than the roll down underlayment?

There is old pine floors with many gaps there now.