Sorry if it isn't clear. I'm not sure I get it either, but based on what I've read...
It seems that to use Video, you switch to the Video Mode dial... unlike a 5D or 7D, where you can go to your Custom 1, 2 or 3 dial, and THEN enter Video Mode, keeping your custom settings.
What I've read is that you have to tweak the picture style each time you go into Video Mode on a 60D.