Welcome! I have a similar lathe (101.07403), 12x36. I took the whole thing apart and cleaned and lubed it. It was fun and I learned how the whole machine worked. I also bought belt guards. I have a restoration thread
here. In case that doesn't work, here's the whole link:
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https://www.hobby-machinist.com/threads/arc-170s-craftsman-101-07403-lathe-restoration-thread.74024/
6. (are we on 6? Let's just say yes! Ha!) WAY & BEARING LUBE
I use Mobil Vactra Oil #2 Way Oil for the ways and bearings. You can get it at littlemachineshop.com. Your machine will drip oil. Keep in mind it will leak under the machine. Mine is mounted on a steel top with a wood underlayment and I should probably look and see how much oil is showing. Fill the cups every time you use the machine. The one nearest the chuck needs filling the most.
7. GREASE
I use Lubriplate Gear Shield Extra Heavy on my gears. Comes in a spray can. I got it at my FLAPS. I have covers and it flings off a little, but not much.
8. PAINT
If you want to paint your machine, Krylon Regal Blue is supposed to be the closest color to the original blue. It is my understanding that Atlas painted most of the lathes they made for Craftsman blue, while theirs were all dark gray. For some reason mine is sparkly green. I think it was painted in the 70's while under the influence. I just kept it the same.
9. OTHER THOUGHTS
a. This is not a very stiff machine, so take light cuts.
b. I get some funky patterns and sounds when using the auto feed. I think there is something loose or bent, so I'm currently chasing that. The machine still makes functional parts, though. Turn a rod with the auto-feed and see what happens.
c. I used Simple Green, kerosene and elbow grease to clean everything. The old grease tends to dry and get crusty, so parts seem like they are stuck, but they are just "glued" together with gunk.
BTW: You picked up and carried your lathe?! I'm impressed! I had to use an engine hoist.
Have fun!