interconnects vs speaker cables vs power cords - which make the biggest difference?


Like the subject line says, I am curious what others think in terms of whether interconnects, speaker cable or power cords make the biggest difference when it comes to noticeable sound improvements, or are they all equally important?  I am thinking of upgrading them all and am trying to decide how to allocate spending.  Thanks in advance.
ccandte
The "pecking" order for my small 2-channel system is....

1. Speaker Cables
2. Interconnects
3. Power Cables

If I had a large power-hungry amp, power cables might prove to be more important but my Bryston Integrated Amp doesn't seem to care what I feed it with. I do, however, replace OEM 18AWG PCs with generic UL-listed 14AWG ones because they're inexpensive and provide (in theory) better power delivery.
From an EEs perspective,  if power cables make a difference, then you've got a poor power supply design. 
I doubt that’s true since power cords oft make the biggest difference for amps with big robust power supplies. Good try, though. 
Post removed 
I’ll revive a pretty important topic for us and for those we try to help.

I say get everything with your power done right, including very stable grounding. Then, Ii you don’t think power cables are the right ’first upgrade’ to buy then, wait, and buy one eventually. Once you buy a power cable you want, then go AB them next to some reference Nordost. Maybe not even that high up their line. What I’m getting at, is that you’re going to think you just put in a $2k capacitor and top transformers with that one power cable alone. A good one can do that kind of work for your system. There is a reason cables (power, and others) are highly considered in the hospital field tech. work. Yes, some is for spark safety, others have nothing to do with audio, others have a lot to do with EMF/RF. For instance, do you want noise in your system? Neither do the doctors doing a kidney removal on a cancer patient. Then find some RCA cables, better yet, then get a tool you can work with that will pick up any EMF/RF on your RCA cables. You’ll be more concerned with EMF rather than RF at this point. RF can be simply treated by moving your system from any and all mobile devices. EMF more important because it comes from bad grounding (mentioned earlier) bad electric work by the internet tech or any tech using that tech in your robot home. I’m simply going wireless because I have more trust in how to do it right than the audio companies who continue to push Ethernet as they don’t want to drop some R&D cash on WI-FI for their next product. So they simply go with what the audio engineers think they know of Wi-Fi (nothing). Ask Paul (the PS Audio guy about WI-FI), but he’ll tell you to use the connection on his DAC, (USB probably piped from WIFI)

See where I'm going with all this power trip stuff? A LOT of place, too many. Power is everything. Consider it well. Then be happy and do jumping jacks with your RCAs

Dang, did not mean to ramble. Tired and moved all day. But you get my idea. If you disagree, please let me know, I’m still learning and wanting to learn about this topic.