Turntable setup under $2000?

Some good advice given, but don't forget the isolation issue. I have springy wood floors and when I got my first tt the mid-2000s (after giving up vinyl in the 80s) it was a total nightmare. I looked at the table the wrong way and the arm went flying. Totally solved by a Target wallshelf, but I just saying - make sure you have a good, stable place to put the table. It is a big part of analog. I vote for a Music Hall MMF7 for your tt. Comes all complete with a nice, pre-mounted cart, a decent arm, dustcover... This should keep you busy for a couple of years. When you're buying your first, you shouldn't have to worry about all these adjustments. Just play records. Later on, you can get into the minutae.

Strongly agree with Elizabeth that synergy between table, arm, cart, and phono preamp is key along with proper setup and isolation (as suggested by Chayro). Given that you are a newbie this would be best achieved working with a dealer. It would also give you the opportunity to listen to tables at different price points within your budget - or maybe even a little less than your budget to see if you notice a discernible difference - some of the more basic offerings by the likes of Rega, Pro-Ject, Music Hall, etc - coupled with an upgraded cart, good phono preamp and isolation can give tables in the next budget tier a good run for the money. If no dealer in your area, I have found the folks at NeedleDoctor to be very helpful. It's always best to trust your ears, but if asked to make a more specific recommendation in your price range, I would probably look at the Clearaudio Concept package - if you could stretch a little bit, perhaps substitute package cart with something like the Ortofon Black.

Thank you guys , for your help, very much appreciate! Now need some more advice:
I managed to auditioned Music Hall MMF2.2 with Music Hall Tracker cartridge =$525, J.A. Michell Tecnodec with RB250 Special arm and ClearAudio Aurum Beta cartridge=$2900, and Rega RP3 with Elys2 cart =$1395 at my home with my YBA Integre + PolkAudio LSI15.
Music Hall gives neutral, good sound, with gentle and deep bass, but lacks details. I decided to take it as a zero point. Then TecnoDec produces very nice, detailed sound, especially in midrange and treble, but definitely lacks bass! Although this is a class-B Stereophile deck with the cartr that costs $600.
Rega RP3 sounds much louder, more detalied than Music Hall, tight bass and midrange, but sounds little bit harsh, not so pleasant as the first two.( May be those metal braces make the sound so harsh?)
So I feel very confused, I’d love to have sound of Tecnodec but with much more bass, and for less money! Is it possible?
And what really matters in case of sound quality- cartridge, tonearm, turntable?
Cause I started thinking, what if to buy good, expensive cartridge and put it on a budget turntable, or it doesn’t make any sense?

How confident are you that the TecnoDec was properly set up? Not familiar with that table or cart, but it could potentially be table, cart, tonearm or just improper set-up that is impacting the bass.

The Music Hall can definitely handle a better cart than the stock Tracker. You could upgrade the cart to something like the Ortofon 2M Blue ($225) which should fill in the details you are missing. There is also a Musical Hall acrylic platter upgrade ($125) that should increase bass definition.