Any motor oil, 10-30 or 10-40 is nice, lube the chain after running it through a paper towel.
Put a drop of oil on each spoke nipple too, then wipe off the excess.
I do this every 7 rides, and then wipe the bike generally with your oily rag.
Oil the deraillers at all the moving joints, lube the idler pullys, lube the crank at the bb bracket. Wipe the excess away clean.
Lube the brake pivot points if necessary.

Just keep the oil off the braking surfaces and the pads.

Keep it lubed.
bill

in the spring degrease the whole deal