Better Integrated Amp?

Audiogon has a couple of NAD amps in this price range I'd recommend.

This on in particular:

https://www.audiogon.com/listings/lisa5fhb-nad-c-328-hybrid-digital-dac-integrated-amplifier-solid-s...

The unusual hybrid Class D amplifier does not get enough credit and sounds far better to my ears than a lot of others. 

If you can swing $800 I'd also recommend a listed Arcam.

Best,

Erik

You didn't state a budget for speakers but I like the Vandersteen VLR Wood ($1495 USD). I have also heard it with the Proac D2 and Tablette's and both sounded really good. Being in the UK they might be easier to demo. The best sound I heard with it was the Vandersteen VLR CT but it's a bit pricey at $3100 US. If you have a local Rega dealer I would suggest that you go have a listen and see what the dealer recommends.

I am currently using it with Tannoy M1 bookshelf speakers. They are small and I have had them for 16 years. Maybe some current Tannoy's would be a good fit.

Good Luck!

Speakers depend a lot on listening preference, both volume and program. Also size/style desired. And of course budget.
For that TT the AT VM540ML is a match made in value heaven.

Has it been established that you are in the UK???

Get the most powerful one you can afford.
https://www.exposurehifi.com/products.html

This Yamaha A-S501 is worth looking into. It has all the features that you will ever need!
https://usa.yamaha.com/products/audio_visual/hifi_components/a-s501/index.html