2ch Upgrade for Unfocused Listening


I'm not much of a talker on this forum so forgive me for my rash introduction. I'm a father of two young boys, loves music and has little time to really focus on listening. That said, I am toying with the idea of upgrading my system to something a little more grown up. Current setup is a super modest, running a NAD D3020, pair of B&W bookshelves (10 years old), and a small Martin Logan sub. This system sits in the living room and is predominantly used for background listening though the occasional "sit back and relax" kind of listening does happen from time to time. If I'm not listening here, I'm at my desk working and listening to a pair of KEF x300a's. 

My big thought is to do a full upgrade, albeit a slow one, to something a little more special. Currently I have my sights on the Naim Uniti Atom and a pair of floorstanders (CM10 S2 really catch my ear), taking away the need for the ML sub. The big question is this however, will an upgrade like this where music is played more often than not when I am running around with the kids be something I notice? We all like to listen to music, but if we arent planted in the sweet spot am I wasting my time thinking we can achieve great sound throughout the space, making for a worthy investment at this current life stage. 

I welcome your input. And thank you greatly in advance. 
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@jafant Very interesting idea. I've actually eyed the CM6 S2's as an option in this same kind of subwoofer-needed configuration. I'm guessing there is no comparison between the two, but how would place the CM6 S2 next to 805 monitors? I will sometimes waver between truly full-range towers vs monitors and sub with this idea that a single package, i.e. a tower producing all frequencies would produce a more harmonious sound. Thoughts?
@audiokinesis  Thanks for posting about Morrison Audio.  The MBL 101E has been my dream speaker for many, many years.  Luxuriantly, 3D.  Unfortunately, it's way above my pay grade.  The Morrison Model 29 seems within striking distance.   I need to find out if they have representation in L.A.      OP: apologies for going off-topic.
Revels and Magico are among speakers I find to have very wide dispersion and therefore best for listening from a wide variety of locations.

Aurora, Co.

Three Way Designs have consistently Sounded better to me.Mostly that the Listed Price @ $2645 is close to your specified Range.The thing about used gear is having cash on hand when it comes up.

Though I think 2x Designs have improved signicicantly … say in the last ten years.

Improved time alignment driver motor structure X-over … a combination of these and more.

The Symphonia 1 listing notes a 'Coherent Point Source Mid' / 'X-over improvement'.

Also "Bass and Imaging is Outstanding".

Call / Email TMRA and ask for someone to give more input!

Good Staff.

In short a Good well Implemented design for $2.6K.

You can get a Book-Shelf to keep the setup on the periphery.

And You Are Welcome!