Power conditioner and high end power cord

I am setting up my first system and need to understand if you have a good power conditioner (EQUI=CORE 1800) do you still need these high end AC power cables. The cable I got with the conditioner 6 feet looks very high end not sure how it's made. I have all my components (two -MC601mono blocks, C2600, MD550, MT10, two JL Audio E112 sub, and JL Audio CR-1) going into the EQUI=CORE 1800. If you switch all the components to a higher end AC cables is the sound any better. Or do you need just a high end power cord from the wall to the conditioner and use the cables to the components that they came with. Any help would be appreciated.