Welcome to SRP. Depends a bit on where you live and where in your house you store it. I live in a humid climate and I store my razors out of the bathroom area. I always rinse in hot water and dry with a tissue following the shave. I make sure no random drops got into the scales.

Then I strop 20 on leather to remove any micro gunk that might be hiding in the bevel's striations. Following that I wipe the blade with a silicone gun cloth impregnated with a rust preventative that they don't make anymore but any light oil would be fine.