New speakers for a new start?

Get into a Linkwitz LX521 multi-amplified system.  $100k sound for a price we mere mortals can afford.  Really.  You can build the kit from scratch, for as little as $6k,  or you can just buy a turn-key system for about $21k, which is actually a bargain.

The only other system Iʻd consider to be a comparable value is the Dutch & Dutch 8c ($15k).  Extraordinary technology, imaging, natural quality.  Especially good for low-level listening, great dynamic range and able to play at higher levels as well.

Speakers are the most subjective component in your system. Make an effort to audition speakers at brick and mortar stores, hi-fi shows, friends, etc. Reviews can lead you, but let your ears decide. Hopefully you can get a trial period for testing. My current speakers were under 5K, and punch way above their weight. It would be pointless (mostly braggadocio) to recommend (tell you what I think you should...). With a new, and return to system, I would suggest a reputable dealer that spells out their trade in and trade up policy (customer for life philosophy), and can help with compatibility and setup, which is surprisingly important. For most of the people pursuing quality sound reproduction, perfection in their first (second, third, forever) system is not expected, but an ability to advance is. The stand-mount segment (formerly "Book Shelf" has exploded with technology, innovation and truly amazing performance since you were hear last (btw).

I know they are out of business, but designs are still being made by new company.. I am referring to Consensus Audio. If you ever get a chance to see/hear them, do it. The sound is clear, clean and magical… Bob

You have a big room. You need a big room speaker. Most of the recommendations here are for medium sized rooms at best, or way over your #5K limit.  I would definitely check out the new SVS Ultra evolution Pinnacles. With 4-8" woofers (2 high front and rear 2 low, front and rear) per cabinet, bass extension, dynamic range, 'speed' and control are assured. The d'Appolito mid-tweet-mid helps control vertical dispersion, a big help in large, high-ceiling rooms that helps soundstage and imaging. And nobody does value better than SVS - at $5000 per pair new, they are one of the great deals in audio.

I would also check around and see if you can find a pair of JBL 4349. These are not your father's shrieking, boomy JBLs. These are superbly executed, very high performance loudspeakers of exceptional sound and build quality. New, at $8250/pr, they are beyond you budget, but if you can locate a good used pair, you might be able to pull them into your range.  At 91+dB sensitivity, the also need about half the power of most of their competition, but can handle just about any amp you're likely to try. The single 12" woofer has slam. Kick drum and bass are easily among the most accurately rendered I've heard in pitch definition and dynamics. The unique 2-way horn/tweeter has a nominal 90X40 degree pattern, again, helping control unwanted room reflections, and it simply doesn't ever honk or shriek. It's just there - clear and dynamic.

The Linkwitz LX521s came up in dipole speakers discussions and they look really, really good, but €27000 is far more than in willing to spend at this point. The kit option is interesting, but the lower price is misleading since no electronics are included so, unless you purchase the Linkwitz dedicated electronics, you'll never get the system or sound that Linkwitz intended. 

Madisound sells the Linkwitz "enclosures" in kdk form for not much money, so that you could theoretically put together a similarly functional system with a dbx DSP unit and a couple of Crown XLSs for oomph. Which, by the way, are NCore-based just like the Linkwitz if I'm not mistaken.

I don't know, kits are by and large the surest way to lose money, at least in the short term. But if I were to allow myself to spend $30K on a pair of speakers right now, I would definitely look at these.