Logical upgrades to a DD turntable.

I decided to keep my Technics SL1200 MK3D as my main listening turntable for the time being. I have maintained it fairly well, but it's also clear that it needs some more maintenance and upgrades to get the most out of it.
I've been trying to decide on a good cartridge upgrade from my current Shure M44-7, but being that the power cord, the rca outs, ground, tone arm, are all original stock (cheap+flimsy), it feels like that it may not make too much sense in investing in something substantial just yet.
My question is - what is the logical order of upgrades for this particular turntable? Should I upgrade cabling to something better first? Or the tonearm? What is the most obvious tweak / upgrade for this type of turntable before spending substantial money on a better cartridge?
Thank you for any pointers!