Hi Obie
I only oil the blades I am not using for 3 days or longer. I tend to use a specific straight for an extended period of time before rotating and that one, while in daily use, is not oiled.
I am using Ballistol mineral oil which I get from Martin at Rasurpur.de - Rasiermesser und mehr aus Frankreich & Solingen. If I run out of that one, I use Johnson's baby Oil, which is also Mineral Oil. Since the goal is to achieve BBS, Baby Oil can't hurt.. ;-)