Watch out for alcohol.
Alcohol will remove oil and expose the
steel to oxygen.

When the shave is done, rinse in hot
water and wipe with clean tissue or
a clean towel. Watch out for water
that gets caught between the scales.
If there is any use a fold of tissue to
get it out from between.

Many old razors have a bad spot
of corrosion where the razor touches
the scales near the toe. This is because
water gets caught there and over time
corrosion develops.

Lightly oil with special attention
to the pivot.

Alcohol pulls water out of the air,
it cleans oil from steel and other than
the disinfectant component has
little value and needs to be wiped
off before oil is applied. Adding oil
before the alcohol is 100% gone might
trap alcohol and moisture under the
oil.

I am a big fan of letting a light patina develop.
I will wipe and dry my blades with common
tissue after shaving. I will use a water displacement
spray and then light oil after honing and before
storage. Should the patina get too thick I use
MAAS or Simichrome to brighten up my steel
should it get too dull.