I did notice that Aragorn was particularly good about cleaning all the blood off his sword after a fight. He wiped it down before putting it away each time in the film. I didn't notice Gimli doing it. Does he do you think? - or are dwarves not the type to care about a little blood on the weaponry? I have to admit, I haven't even noticed what sort of hilt he carries his axe in... Guess I shall have to watch it again.
BTW... before you play your movie, you will have to download a small player (get the free version) from DivX.com. You don't really need the player (it plays in Windows Media Player) BUT, it installs a codec you will need for it to work.
Did not notice that point in the film either, but I can't say that my conception of Dwarves include them being finicky about cleaning their axes. Swords are fine, delicate instruments. Axes are for brute force, rather than delicacy. Also, while dwarves enjoy the fine halls they built for themselves in Moria, they first have to build them. That is dirty work. Of course they do appreciate delicate metal work, they just don't use this in creating their axes.