I have an older Craftsman lathe that was my Dad's & a even older 1930" Delta double duty lathe & a door prize Jet mini lathe. I have the original 8 piece Craftsman set from Dad's lathe as well as I think a 20 piece HSS Craftsman set someone purchased at a garage sale as well as a set of 5 or 6 from Grizzly. I would recommend a reasonable inexpensive HSS set of 6 or 8 tools & a Wolverine Sharpening Jig & Accessories.
"Forget the flat stuff slap something on the spinny thing and lets go, we're burning daylight" Bart Leetch
"If it ain't round you may be a knuckle dragger""Turners drag their nuckles too, they just do it at a higher RPM"Bart