What is it with you and Lee Valley's carpenter's tool sharpening supplies?
Why would you want to strop a 10" kitchen knife on a 4x6 surface? The 3M films LV sells are the wrong size for stropping kitchen knives. Go with compound or "slurries," spread, splashed or sprayed (and spread) on mdf, leather, felt or whatever.
I'm using US Products diamond and CBN water-based slurries, and HandAmerican water-based spray diamond slurry and boron paste on balsa.
When you're shopping for compound you want to be aware that the oil and oil/soap compound bases can irritate sensitive skin -- go for water-based slurries and pastes rather than oil. The water-based compounds are almost always easier than oil for getting an even spread on the sorts of strops we use for hand stropping also. So...
USP stuff is pretty inexpensive as those things go, but at it's most concentrated it's still kind of dilute -- so you have to really douse your strop. Even so, it's still more cost effective than any of the other alternatives I know.
If you want to try USP, here's a link to the purchasing page for their pain in the ass website. Remember, "Slurries," not "Compounds," and also remember -- when you get to the option -- to choose the "Heavy" concentration.
HA stuff is very good, but on the expensive side. I happen to have a lot on hand, and also have a very friendly and good relationship with Keith deGrau, the really great guy who is HA. So, I don't mind spending a little extra for it, and think you shouldn't either. I like using HA diamond more than USP, because it's an easier water-based alternative. Available at CKtG.
Ken Schwartz has some really nice, ultra-concentrated CBN out, but it's too expensive.
FYI, the green chromium oxide followed by red jeweler's rouge is very old school razor sharpening. There's nothing really wrong with it for razors, knives or tools; but there's new stuff that's faster, cleaner, easier and better. Effective sharpening is technology, not tradition.
Edited by boar_d_laze - 7/5/13 at 8:48am