Cartridge recommendation please...


Jettisoned most of my record albums 20 years ago, but am considering a return to vinyl. I've dusted off my old but fully operational TT and would like to mount a new MM cartridge.

Equipment
Technics SL-1300 Direct Drive turntable
The TT would be mated to a Parasound 200 Pre, with a Parasound 2125v2 amp.
Speakers are PSB Silver i's, with an occasional switch to Vandersteen 1's for variety.
No current plan to add a separate phono preamp.

Sound
Jazz, classic soul/r&b, light rock is my preferred type of music.
I'm OK to trade some bass for better vocals and higher end clarity.
As my A'gon name suggests, I do not listen at elevated levels.

Technical/misc.
The SL-1300 currently has an equally old AudioTechnica cartridge (no obvious markings).
I'd like to target a cartridge in the $300 neighborhood.
Will get an additional headshell for whatever cartridge is purchased.
Any cautions for install, or brands to exclude?
If I've done it correctly, here's a link to the TT owners' manual.
https://usermanual.wiki/Document/technicssl1300OwnersManual.3287426015

I can certainly get recommendations from local retailers, though their choices would be for cartridge brands that they carry. My preference is to use the experience of... and hear from... the wider audience reading this post. Thanks much!
60decibels
A Grado MI (moving-iron) is an easy recommendation! The advantage over MM-types is immunity from cable and input stage capacitance. Prices range from under $100 to five-figures. A wood-body Grado Sonata (I have one) for about $300 would be a good choice! Unless you prefer to spend less on the various Black models ($79 and up).
Add a bottle of liquid stylus-cleaner and a bottle of Stylast (extends diamond life). Anybody serious about record care should own these two!
Look for Pickering XSV/3000 or XSV/3000SP cartridges for your tonearm, they are absolutely amazing for the money (between $300-450 for NOS if you are lucky). Pickering with higher number like XSV/4000 or 5000 are even better (but for double price). They are all comes with Stereohedron stylus tip (life span is over 1000 hrs). 
The problem (and it's a serious one) is buying NOS replacement styli for those great old MM cartridges. Because they all eventually wear out and need replacement! Those Pickering/Stanton Stereohedron styli are going to be particularly difficult to replace! Same for the Shure V15 series, and the Empires.
I have all of the above cartridges in my collection. Including a brand-new-in-box Shure V15 mkV MR (which I'm so far saving for posterity).