Yet another turntable recommendation question

something 'better', or 'nicer', not too much money, hard but possible.

features:

detatchable headshell, yes

direct drive: yes.

dead accurate speed control. many have pitch control, but that is a feature, for intentional speed change. I have never needed to 'fix' the speed/pitch of any direct drive tt I have owned.
belt drive, no, especially if sensitive to pitch.

auto lift: no.

that feature adds an unwanted mechanism to the arm, It also limits your choices a great deal. I advise against it.

there are separate after market auto-lift devices, if you can get one to work I think it is a great idea,

however, if the arm is close to the platter, or if the arm has a large base, typically sloped, then there is no flat place to put it.

here's the budget model auto lifter I bought. It may not fit on my new to me tt that is coming next week.

https://www.amazon.com/dp/B008OAMD26?psc=1&ref=ppx_pop_dt_b_product_details

this one is nicer, may fit where the other one doesn't

https://www.amazon.com/Audio-Technica-AT6006R-Safety-Raiser/dp/B07HKX6WL7/ref=sr_1_2?keywords=tonearm+lifter&qid=1578922193&s=electronics&sr=1-2

my plastic tt is this one. I have had 'better' but this tt is hard to beat within your budget. I would use it as a base for comparison when shopping.

https://www.amazon.com/dp/B07N3S4X3P?ref=dacx_dp_9501550660801_5391562380701&me=ATVPDKIKX0DER&aaxitk=HZng2H0rXknipWOBtwiJMQ


they, and others, have more expensive plastic 'dj' versions. 
 
https://www.amazon.com/Audio-Technica-AT-LP140XP-SV-Direct-Drive-Professional-Turntable/dp/B07N3VYTSF/ref=sr_1_44_sspa?keywords=turntable&qid=1578921671&sr=8-44-spons&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUEzUFJVSEZNSlpKUVhXJmVuY3J5cHRlZElkPUEwOTQxMzg2N0lHN1FBMElNOElCJmVuY3J5cHRlZEFkSWQ9QTA4OTkzNzAxWEZOQjNJNjg5WTNJJndpZGdldE5hbWU9c3BfbXRmJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ&th=1

for home use, I don't think the heavy duty motor's start/stop feature needed in a dj tt is needed, thus the extra money of a Technics 1200 is wasted at home.
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nicer

Part of the goal is wood, not plastic, a different look. Hard to do in your budget unless buying used.

Part of you want's a warranty. Hard to do in your budget. Conflicts with used.

My recent project buying used tt and used tonearms (2) has led to problems, many would be upset, I just patiently deal with it.

If you are buying used, I strongly advise finding something local, craigs list, facebook marketplace, local ebay, local pick up, see it work, 30 day handshake with seller.

Patience, actively look until you get lucky locally.

OP,

primary to any tt success is acquired skills in all aspects of cartridge alignment and the matching of downward and anti-skate forces.

how are your skills? 

Internal Preamp of some modern tt.

I had highly respected McIntosh C28 Solid State Preamp. I preferred the optional phono eq built into my plastic tt.

Sold the SS C28, bought a used McIntosh Tube Preamp. Same tt, I prefer the McIntosh Tube Phono EQ.

USB. I don't use it, but it is not nonsense, many want/use this feature, especially within your price range.

@earworm22 I was in the same boat and ended up accidently coming across a Denon DP-62L. It had everything I was looking for and comes with 2 tone arms (Straight and S shapped) and also several counter weights for the arms. There is a good review available at:

https://www.tonepublications.com/old-school/denon-dp-62l-direct-drive-turntable/

There other similar Denon models 60, 62, 72, 57, and 59 however I have no experience with them. 

These are beautiful pieces of equipment and they are hard to come by but do pop up regularly on line. 

Good luck on your journey with your TT. 

Yamaha PX2 , Technics SL-M3,   Sony PS-X800 are good Linear tracking turntables. These days, hard to come by. Some come up from time to time.