Hi Rem1954,
I have listened to most of the turntables on your list, and have owned a Linn LP12 for 25 years, which I bought new. I would like to disclose that I am trying to sell a 2nd Linn currently.
Under $2000, I would recommend the VPI or Linn. The next best value in my opinion is a Rega.
The Linn's suspension will not help you with floor bounce concerns. If you chose the Linn, I would recommend that you buy a wall mount shelf (one is for sale now) to prevent the needle skipping. You would probably want this with a VPI as well, but to provide better sound.
Friends of mine bought the VPI Scout. It has a very good sound quality, perhaps a little more dynamic than the Linn. It also pops more loudly on record imperfections than the Linn. Both provide a very pleasant, musical playback. I can't say that I have a preference for one over the other.
With a Linn, I would rank the tonearms this way: (1) Ekos, (2) Ittok, (3) Akito. The Akito is very much underrated. Disclaimer - I am also trying to sell this Akito on the turntable I have for sale. I think the Akito will play as well as the Rega 300/250 or VPI JWM 9 arm. All are good.
I don't know what you are looking at in cartridges, but I owned a Sumiko Blackbird that was very good. I think on your $2000 (or slightly less) that you should be prepared to spend $600-$800 for a cartridge. I would also recommend that you buy good interconnect cables. I personally like Purist Audio Design. The Museas are very good at a relatively low price, or the Venustas is better; which is what I prefer.
Best of luck in your adventure, and I hope you have many pleasurable hours listening.
Mark