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. 

Power cords have improved my system.....so too upgraded wall plugs, but not power conditioners.
@dorkwad +1,
I forgot to add-
All my amps go directly to the wall. Power conditioners often have less than positive effects on high demand equipment like amps. In this case use a better power cord.
@ stringreen +1,
Improved outlets (hospital grade) and a dedicated line, if possible, will give significant results.
@gdnrbob My experience is similar; while for lower draw amps there might be little downside to using a power conditioner,  a high draw amp will be choked by a power conditioner no matter the quality and irrespective of reviews claiming otherwise.  

Seperately, low gauge high quality PCs make a huge difference for high draw power amps.  But again, directly to the wall.
I repeat "it all depends"
I have amazed myself at suddenly I have found my mains supply is so rubbish. Not voltage variations but just contaminated and different at certain times of the day. I live in quite an upmarket town in UK so I do (did) not expect rubbish electricity!
An expert told me to try direct wall connection to amps (Bryston 7b3s into B&W800d3s) as with a conditioner (used by me for many years) there would be  a lot of transformers and activity introduced in the process. An engineer also repeatedly told me there was no difference in cables, so advice is free and expensive! The result, by removing conditioners yet still having so called hi end cables, was that the sound became hugely weak and tinny, no depth or substance. and very unlistenable. I tried for a few days as I couldn't believe it - and also as I had sold my conditioners I had little option! Talk about disappointment! Anyway I found some US terminal conditioners (my conditioners are made by Airlink in Harlow UK, just 2 miles from me) and put those in. Fantastic - all the Bryston depth and quality returned in spades. I have also inserted a power regenerator at the processing end and when it arrives, I will insert instead of the conditioners at the amp end to sort the quality of power issue out and compare to the conditioners etc etc. I have no personal energy remaining to change power cables before the conditioners or regenerator, - but will in due course have a bash when I psyche myself up for more tests. PS Audio recommend a quality power cable BEFORE their regenerator. The people I sold the 2 UK Airlink conditioners to, reported significant improvements, one more than the other though.
Sorry I can only help with half the question at this stage
Hi gbprint

Try to do away with plugs and sockets if you can except for the IEC. Use a dedicated mains consumer unit with individual flying lead mains spurs to the equipment. Use the best quality off the reel cable such as Acrolink. Or better use Sablon mains cables but more expensive. Use the best mains IEC plugs available such as the Furutech NCF plugs. Use Bybee Signal Enhancers or PPT Omega E mats strapped all around the consumer unit. Paint all the outside of all mains cables with PPT contact enhancer. Upgrade your BPT with a higher quality transformer for each spur.