New to vinyl - How to get the best out of old classical discs?

I’ve recently added vinyl to my classical listening lineup (mostly piano and chamber music) after realizing how many extraordinary recordings aren’t available in other formats. I wanted to start small, but now that I’m a little more comfortable with the gear and know I like the format, I’m interested in where the biggest improvements can be found. Generic suggestions are always welcome, but there are issues that seem to come up more often with of these old classical discs so if anyone has extensive experience there I would be particularly grateful. My budget is around $1000, and any gear that holds value is preferred.

My current setup:

Prep: Ultrasonic/IPA/detergent, new sleeves, quick wipe with dry swiffer duster before play

TT:  Denon DP-51F

Cart:  Ortofon Red

Phono: Pro-ject Phono Box S2

Then (usually):

MiniDSP

Scott 222C (EL84 PP amplifier)

Klipsch RF-5s (discontinued floorstanders, similar sound to Heritage)

Thanks in advance for any advice!