Audio Technica seems to have a good reputation at reasonable prices.
I don't know but you can tweak it with tone controls & EQ.

Back in the analog days I was always upgrading or wanting to upgrade, although I
knew the real problems was the records, because there were a few "good sounding" records.
The capacitance of the load (the wiring in the turntable, the wiring to the preamp, and the preamp's input) also affect frequency response. There is an optimum, Lower isn't necessarily better and we usually don't know how what they all add-up to.

And the preamp may have 'imperfect RIAA EQ.
So... I just recommend equalizing by-ear, and different records may need different adjustments.
There are some "hard to track" records, but again the biggest problem is usually the records.
Of course if you are going to "scratch" or crossfade "live" you'll need a mixer. If you just want to crossfade between songs, Audacity (or any audio editor) can do that after recording.
For digitizing, you'll need computer with a regular soundcard and a line input (usually color coded blue). If you have a laptop with only mic-in and headphone-out, you'll need a USB audio interface with line-in. The Behringer USA202 is popular and inexpensive and they make a similar UFO202 which has a switchable line/phono input. I have an ART USB phono plus (about $100 USD) which has switchable line/phono inputs and it has a recording level knob, which can be handy. Or there are lots of higher-end audio interfaces with switchable mic/line inputs. Or there are some mixers with USB ports