Upgrade Speaker Cables or Interconnects


New to audio - I want to update my cables.  What will give me the best results - speaker or interconnect upgrade? Currently running blue jeans speaker and interconnect cables. System - Hegel 160 - Acram CDS 050 - Golden Ear 2+ speaker's.
telemon
Lots of good points made above that you should keep in mind going forward.  But just to stick to your original question, my experience is that speaker cables become more important as speaker efficiency drops.  My speakers have almost the same sensitivity and impedance as yours (i.e. fairly efficient), and I tend to hear relatively little difference between speaker cables and much more with interconnects.  As always with wires, YMMV.  FWIW, and best of luck in your search. 
Lots of talk on here about power, and I concur. I have addressed this element of my system via a Goal Zero lead-acid battery generator. This generates are perfect, noise-free 60-hz sine wave. It has dropped the noise floor in my system significantly, and I didn't even think the concept of a "noise floor" was relevant in my system. Boy was I wrong.
+1 @gadios20 amp circuits should be done first... save you years of chasing bass.
As you're looking for better sound , and all your gear "stands" on the electric power my suggestion is to not dismiss the quality of your duplex wall outlet . It was one of the LAST things I replaced , yet had the highest performance/ cost ratio .
 After a lengthy search I chose the cruzeFIRST Audio Maestro outlet . It offered quieter backgrounds and enhanced micro- and macro-dynamics with clarity and no editorializing . More life .
Not the cable answer you wanted , but my experience of improvement .
  I use only Analysis Plus audio cables , homemade power cords using Oyaide Black Mamba cables due to cost restraints . 
If possible, run a dedicated 20 amp, 10-12 gauge electric power line(s) to your gear. I hired it done for $350. Then address your room reflections
with acoustic treatment. Glass and Hard surfaces make for crap
sound. Do not spend 10 cents on any cable or ICs until these are done.
Look out for ambient room noise intrusions also. Noisy refrigerator,
humming lights, etc. Your gear is well done so now address the other 1/2 of the equation. 
Before you spend thousands on new power cords you might want to replace all the cheap 14-2 Romex in your house - or does that not make any difference? I’m sure there is some manufacturer out there that will sell you new wire for $500 per foot.  After he installs it, you will of course need to "break it in" so that all of the electrons lineup properly.  You will probably want to elevate the new Romex too so that it doesn't touch the ground.
Thanks to everyone for your responses. Some offered really good advice based on experience. Some went off the subject. Some did not read the full post!

Since my post I have ordered and received Raven Audio Soniquil speaker and xlr interconnects. The cables are breaking in as I write this update. Early reviews (after 10 hours) these cables are a steal for the price. Neutral, nice depth, soundstage and vocals. I tried cables with both tube (Jolida 3502s) and Hegel 160. Cables seem more relaxed at this point compared to Blue Jeans. Bass is better defined. Cables are a little stiff. Build, connectors are first rate. A++. I am tempted to try their power cables.

Next I will be auditioning Syngerstic Atmosphere active level 2 speaker cables. I expect to receive those cables in a few days and will update after audition.
Though different cables behave wildly differently, and all cables will likely affect all these areas to some degree, I have generally found that:

1) speaker cables affect (can improve) spatial qualities of sound more than any other cable
2) interconnects affect tonal and timbral qualities most of all
3) digital cables affect fluidity and ‘analog-ness’ of sound more than any other

So you also approach the issue from the perspective of what aspect of sound you want to try to improve first. 

Again, these are far from hard and fast rules and synergy throughout all cables in a system can have the biggest effect of all. 
YMMV, enjoy the hunt.

You didn't mention power cables on your Triton 2+'s. I have a pair of these speakers and used Blue Jean speaker cables on them for a little while.

I upgraded both the PCs and speaker cables and noticed the biggest difference in the speaker cables, but at least a modest upgrade in power cords is worth doing. 

I tried a few different speaker cables from Nordost, AQ, and DH Labs, and decided I liked the sound of the DH Labs Q-10 the best, but I have different electronics and front end. None of these were terribly expensive, but I thought the AQ (Mammoth) and Q-10 cable was a nice improvement over the BJ cables. I'm sure you could do even better with more expensive cables if you have the budget.
Keep your cables and try a set of Daedalus DiD’s under your Hegel and be prepared to have your mind blown. What do you feel your current cables aren’t offering you? Are your IC’s balanced or single ended? Your Golden Ears are non biwire I believe so no need to ask about jumpers. You’re just going to have to experiment but being you don’t have to deal with single or biwire cables or jumpers if I had to take a stab I’d start with IC’s and look at balance if you haven’t yet. Hopefully you have some local shops to let you drag some cables home or audiophile friends nearby... if not buy used and if you don’t like resale. Good luck.
You forget some things

A listing of mine from 2007:
My main system (Plinius) is totally Merlin. Verdi, Vivaldi interconnects, Scorpion, Tarantula and Black Widow power, with Scorpion speaker cables.
Replaced my Van den Hul which replaced my QED which replaced my Slinkylinks which replaced Kimber PBJ which replaced my USA Stout silver which replaced Dick Smith's finest.
When I used Transparent Audio cables, their recommended upgrade path was IC from source to pre, then speaker cables, then IC from pre to amp
@perkri

1. P O W E R C O N D I T I ON E R
2. PC’s
3. IC’s
4. Speaker cables

+1 chaZZZy
Or you could look at it from the Linn perspective.  Rubbish in, rubbish out.  In other words, if the signal gets degraded upstream, nothing you do downstream will ameliorate it (put back what got eliminated).  Seems like an argument to look first at the link between source and preamp.
I'm currently looking at the same sort of thing. Mostly stock cables now so room for improvement everywhere. My approach has been to prioritize what gets the most use and is the weakest link. Speaker cables get used by everything so does the amp power cord. Interconnect between pre and power amp or most used source would be next. Digital cable to DAC probably gets used a lot too. If I decide to further upgrade one of those then I'll move it down the line to another less used component and put the shiny new one where it can do the most. Now I just need to wait until the jar is full of nickels and dimes so I can pay 25% of my systems value in new cabling.
You could try upgrading through Ebay.
Some bargains to be had.
Easy to post, try out, and move on from if they aren't what you are looking for.

Managed to get speaker cables (RRP $1200 for $95) which I still use.
Race Car Driver:  I am having a problem with traction in the corners, what should I do?
Audiophile: Change the engine.

+1 stereo5 !!!
Barhi ohr, stereo 5!
Whenever I pass through a little town in Florida called Green Cove Springs,
I always stop in a little hole in the wall called Mush Armenian Kitchen.
Great lamb kababs and vozni for dessert! 
I would start at power conditioning first before anything else.
Once your power conditioning is in place move to power cords.
Power is the foundation for everything we build on.

IMO good clean power is like a component upgrade.
It's that important.

Good luck!
Jeez, the OP already said he has upgraded power cords in his system and they are perfectly fine for his equipment. So why do you guys keep telling him to buy power cords that are more expensive than his equipment? I get the feeling that a lot of us read the post so quickly that we really don’t comprehend what we read.

Case in point, I wrote out a long and detailed account about loading a Mc cartridge and made it a point that the dealer set it correctly and it was rechecked once I got it home. 5 of the 8 answers were to re align the cartridge. For Gods sake, I was not speaking Armenian ( I am Armenian), it was pure English yet it was not comprehended properly. As always, Ralph @Atmosphere gave me the answer I was looking for.

To the OP, if you don’t have upgraded interconnects, I would start with trying one from your source to amp. If you like what you hear, then keep going.
Does it come with a deed to swamp land in Florida?
One small item that I tried, which was very noticeable and was not that expensive was the High Fidelity Cables MC-0.5 power conditioner. I am using 3 now and it is amazing the noise that has dropped off the background. They are $299 each, but they were recently on sale for the holidays.

The electrons of your audio signal follow these lines of flux due to something called a magnetic moment. Just like the Earth spins and creates a magnetic moment or magnetic field, so do electrons. This magnetic field created by the electrons makes them behave like bar magnets. Because of this, the electrons get pulled into the lines of flux and follow the magnetic field of the wave guide. The magnetic field of the waveguide is far more powerful than that of the electrons. With a more concentrated magnetic field the electrons are forced inward towards the center of the conductor. This more concentrated flow of electrons helps to eliminate noise in your audio signal. When you lower noise you get a cleaner signal with less distortion.

.... because audiophiles will believe almost anything.
Power cable for digital, then I/Cs. Am not a fan of conditioners but I have excellent power and live in a rural area. 
since it can be so unpredictable, buy used and start with whatever great deals appear first...
Easily power conditioner/cords... these will make the most noticeable difference (IMHO).  I run LessLoss power cords across my entire system and they are amazing.  If your budget does not allow that, try Wireworld maybe.  One small item that I tried, which was very noticeable and was not that expensive was the High Fidelity Cables MC-0.5 power conditioner.  I am using 3 now and it is amazing the noise that has dropped off the background.  They are $299 each, but they were recently on sale for the holidays.  Their power conditioners & power cords are far too expensive for most people.
I say power cords have the greatest impact on sonics, next would be interconnects. Since you've upgraded the PC's, go for ICs. 
Post removed 
Some will say spend it on almost any other upgrade ... like room acoustics or better equipment.
 More will say speaker cable makes bigger difference than IC. 
Some will say the opposite 
Update to my post: I am using MIT Z-cord power cables, amp and cd player, shunyata venom PS8 with venom HC power cord.
Generally- almost always in fact- the best approach is to upgrade the weakest component. You're thinking cables. So which one is worst? Since you neglect to even mention power cords then I assume you have neglected to upgrade and are using the freebie crap that came in the box. Am I warm?

BTW once you get good power cords on everything then look at fuses, cones, cable elevators, component rack or shelf, as well as other highly effective tweaks like ECT and HFT.
I would try powercords, followed by speaker cables, and finally interconnect cables. All systems are different, that's why I say "try", so your ears can determine the best upgrade.