Second hand record turntable - Which one?

this seller seems to know what he is doing

https://www.ebay.com/itm/176761792266?mkevt=1&mkcid=1&mkrid=711-53200-19255-0&campid=5338381866&toolid=10001&customid=664ee218-c558-11ef-ad89-393635343532

see seller’s other items, 16 other TTs currently listed

https://www.ebay.com/sch/i.html?_dkr=1&iconV2Request=true&_blrs=recall_filtering&_ssn=horiatis76&store_name=horiatis76&_oac=1

My objection to the models you list is that they have tonearms with fixed cartridges, I advocate, once you know you will stick with Vinyl, at least a removable headshell if not potential for 2 arms.

So many times, over the years, we move up a bit, then later another step up, which is why that newly listed Programmable Technics seems like a great opportunity to get listening while taking the time to learn, ask, think long .....

If there is no penalty, automatic features are terrific. 

I've now got 3 Pioneer PLX-1000 turntables and I bought each for $350 second-hand. They are great DJ style tables that I use in home audiophile systems. I prefer them over older Technics SL-1200 mk II tables. They sound really good and are more robust build than lower-end Pro-Ject and Rega tables. They also have removeable headshells, so setup is easier and you can swap cartridges around in a matter of seconds. Highly recommended in the budget - mid-price range.

the Rega P3 with the Exact cartridge is a very good deal. I have it, I also had the Pro-Ject, the Rega is a step up. You will be happy with it for many years to come.

(be prepared for people to ignore your list and recommend completely different TTs)

That’s some great advice, thank you all for taking the time to help me out! I live in Europe, so unfortunately those eBay listings aren’t really an option for me.
There is a 6 month old Technics 1500c with a Ortofon Red for sale for €700 though.

I understand picking out ‘the right turntable’ is a very personal thing. To each their own preference of sound, looks, options and brand. I do enjoy the clean no fuss looks of the Rega and Pro-Ject as opposed to the more DJ oriented look of the silver Technics. But the black SL-1200mkII en 1500c are okay and I love that they are quality build tables.

For now, it is obvious that purchasing the 10 year old Xpression and Debut Carbon is a no go, simply because I can’t test the components that Bill mentions and the seller isn’t a commercial seller that offers warranty. The P3 or the 1500C are the contenders, because they both are newer and better options in terms of quality and sound.

Perhaps the best option will be to test the different turntables on the same setup and see which one I prefer. And then go from there and start my journey.

You’d be fortunate to find someone competent and honest enough to do all the testing that Bill recommends, and if this rare individual is in the audio business, the cost of those services is likely to double or more than double the base cost of the units you listed. So it’s good that the Rega is not a very old unit, and I say again, buy from a seller who will guarantee the condition. If there are gross problems, you’ll soon know.