A plethora of turntables - help needed!

So my son managed to jump and land on my old Thorens TD 145, so I’m now in the position to buy a new turntable. I was (ironically) going to live with the Thorens until the kids moved out and I could get a Linn LP12.

I own two amplifiers: Rega Brio 2 and NAD 3020 and a pair of Proac Tablette 50 Signature speakers, though I am willing to get new/bigger speakers as well.

I’ve narrowed down my turntable options to these (currently available with prices):

Systemdek IIX (Ortofon OM 10)
$465

Linn Axis (Basik Plus tonearm)
$400

Linn Basik (Akito tonearm)
$150

Thorens TD280 MKII (Linn K9)
$290

Rega Planar3 (Linn K5)
$380

Thorens TD2001 (Sure V15 MVR)
$464

Braun PS-500
(Auction)

Thorens TD166 mkii (Goldring)
(Auction)

I prefer a neutral sound, the less fuss the better. Any help from this sub is most appreciated!