clean out all lube, oil or grease. Factory supplied grease has polishing grit mixed in and I get rid of all of it. I then dry out all lubes/oils and then clean with cloth then paper towels which will let you know if anything is remaining. I then typically tuff glide steel surfaces for corrosion, not lube purposes. After a days wait I make sure things are dry, then lube bearing surfaces ( say on a lock back for instance) with a dry teflon product. Something that won't stay wet and collect grit or cloth fibers.
If I go to store something I strip it. Remove all oils, salts, acids, whatever. Then treatment with clear liquid silicone or Renn wax as needed.
I don't worry too much about keeping surfaces well greased or oiled like I would a gun for instance. The actual wear and heat are much less on knives. My lockbacks go dry and clean to break in. Spyderco's break in smoother and smoother with time when dry. They get like glass after enough use as long as no grit or dirt, metal shavings etc. are trapped. That is much worse than going without lube in a knife.
Some Autos and traditionals do get grease. Teflon , high end grease is usually what I use. Blue clear type stuff can do the job and keep stuff clean. Most high end well built traditional slippies don't need grease as much as the old cheaper ones with lesser levels of finish. Those do get heavier grease to slow down scoring of one surface or another. Grease needs to be changed and retreated occasionally so trapped bits don't mar the surfaces of what are bearing surfaces.