Where should I Go Next?

The cables are actually very good. You can get a different sound with something different, but you need to know specifically what you are looking for.

The weak link in your system is the streamer/DAC. If streaming is 30% or more of your listening time, then that is what I would focus on. If it is just back up and you truly focus on vinyl, then you are fine.

Separating the streamer and DAC can help tremendously. I would suggest looking at the Aurender line for streaming. I use the N20. There are lots of great DACs. I use the Bricasti M1S2, but there are many excellent choices.

Your first step should be to determine what you are looking for. 

Best of Luck.

Speakers. 🔊 Worry about cables after you find a better dance partner for your integrated amplifier. 

I don't stream much at all. I listen to vinyl 90% of the time. Occasionally I listen to CDs. I have a Panasonic DP-UB9000P1K for that.

I just upgraded the speakers from a set of Q-Acoustic bookshelf' speakers.

The Focals sound amazing with the Luxman and I can't afford anything more expensive for some time.

Looking at the analog audio chain, agree that the weak link is the speakers.  It’s not that the current Focals are bad, but rather a better speaker can take advantage and reveal more of the higher performance of the other audio components.