So I just bought a Hegel H390 and

We went from the H360 to the H390.  You should really like the Hegel.  A few points, if I may.  
It needs to break in.  So don't be flipped out if is sounds dull and un-engaging when you first set it up.
It needs to be on for about an hour, even after break in, to sound its best.  Cold it's a little "dull".  We leave ours always on.  We're bad people.
In our system it drives a pair of Focal Sopra 2's.  The music is effortless.  Mostly orchestra, chamber, rock n roll like phish, .moe, Dead etc.  It loves to play loud but is also very accurate at low volume too.  The amp is very "neutral", clean, fast and pretty flat.
Based on that I'd recommend that you not concentrate on what goes best with the amp but, rather, focus on what speaker will give you the kind of sound you want, warm, bright, hot, laid back etc.  The Sopra 1 would be a great speaker but you'll want a sub to go with it.  We have a Rel S/510 that's not absolutely needed with the Sopra 2, but is a nice a addition.  With the Sopra 1 you'd def want it, however.
Maybe consider a pair of Martin Logans?  This amp is smooth and easy and fast and while it sounds crisp it never sounds harsh or "shiny" so I think it'd be an interesting match with the lightening fast speed of an electro.

So many have given great suggestions, Magnapan, Dali, Dynaudio, Franco Serbin or Sonus Faber or Focal. You don’t have to spend a fortune on cable, but I can say that with my speakers the solid core ofc cables provide a great path of uninterrupted travel versus stranded cable. I use Marrow and AQ which I’m replacing with Marrow audio, or Nordost flat cables if you want more style. Kimber work great. There are so many great choices in your price point, just find one that makes you smile instead of analyzing..otherwise you will be upgrading forever. Congratulations on your move to a great integrated kit 

Haven't heard the KEF Blades, but in the right room, i.e. they're adjacent to room sidewalls to work with their side firing woofers, I think they'd be some magic.  I lived with a pair of LS50W on stands for a while and was completely shocked.  An excellent point source is always kind of arresting when you hear it.  KEF is doing something fabulous with their Uni-Q driver.  However, the Blades will seriously blow your budget.  With a pair of the new generation LS50's you'd have money for a pair of nice REL subs too.  They may seem like, "going cheap", or going small but I suspect they fit very well.  I wonder if anyone in here has them hooked up in a nice system??  

I have the original KEF LS50's hooked up to a lot of good amps. Currently I have the Benchmark AHB2 monos on them. I love how the AHB2 pair with the LS50. If I could get a Blade to fit into my room I would but I am using the LS50 + KEF KC62 sub. It is not too bad but a far cry from the Blade. 

The KEF Reference 1 is a pretty nice speaker with Hegel gear. They should start to get discounted soon with the META upgrades that KEF should be introducing soon for the Refence and Blades.

@jjss gave a good framework.
My two cents is that asking "what matches to the hegel?" is the wrong question.  Any really good amp ought to work well with a wide variety of speakers.  what you really need to ask is "what speakers do I like?"; what speakers can drive my room?" and "what speakers are appropriate for my musical taste?" etc.
A really great amp ought to be a chameleon these days. Mine is.