khe,

I don't oil my blades unless I am going to put them away for a long time and then I use a firearms rust preventive oil - and that's because I have it around. I think almost any petroleum based oil would work and something as widely available as 3in1 would work just fine. Many of the razor gurus like camellia oil as this is the stuff that the Japanese sword and tool users put on their blades. The only thing I have against this type of oil is that it is a vegetable oil and will, over time, polymerize and get gummy which will make it problematic to easily get it off a blade stored for a long period of time. If you caress your blades often: that is take them out, wipe them off, and re-oil them frequently this is not a problem, but it could be if left for extended periods without these ministrations.

Clove oil is another "short" term rust preventive, but also will harden with exposure to air over time. But it does smell good.

Remember that ALL moisture must be removed from the blade before oiling with whatever product you choose. Any water trapped under the protective film will do mischief.