Turntable help, please!


I'm at a turntable fork-in-the-road - any advice appreciated. 

I'm looking to add vinyl (mostly my older albums, average condition, that have been stored for 20 years or so) to my system (Primaluna EVO integrated, Schitt DAC, Fritz speakers, Cambridge CD transport).  I've got a Denon DP-30L from the 80s that works fine with an old, probably inexpensive Grado cartridge (no model identifiers, silver body, black front).  Should I clean it up and use it (thinking cable replacement, motor service) or head into the brave new world of contemporary tables?  If keeping, should I replace the cartridge, and what would be appropriate to match the table?  I'd like to stay MM or high-output MC

In current gear, I'd appreciate recommendations for a new turntable.  A quick look indicates a lot of nice equipment in the $1500 range that would seem to suit the overall level of my system, though I could be persuaded to up the budget for clear improvement.  Used is fine.
Thanks for any advice!
philiptamarkin
I would definitely clean up the Denon and see how it sounds. If you are unsure of the stylus and think it needs replacement, get a replacement stylus. You won't have any/much money into the resurrection, so you can always still buy something new if you are unhappy with the Denon. Also, the Denon will then be in re-sell condition, so you'll have that going for you.....
Your Denon is good enough a lot of the magic will come from the phono stage. Since you want MM or high output MC then the Decware ZP3 will absolutely kill it. Instantly loft your analog front end to top of your system performance. Then clean and lube, DIY, https://liquidaudio.com.au/denon-dp-30l-turntable/ Not hard at all. Mount a decent cart, maybe some day down the road re-wire the arm, or put the table on Townshend Pods, tweak it out with some fO.q tape, you will be blown away how good your records will sound!
Clearaudio Concept is what I’d do at that price. A lot of table technology there. Probably more than you’ll get from any other manufacturer sub $2k. 
I had the Marantz TT 15-S1 (built by Clearaudio) also in that price range and enjoyed it. Recommend. 
+1 on the Clearaudio Concept and Marantz TT 15S1. I have both and they are sold performers.