I think the dock is fuxored in Mavericks. The auto "move" features ONLY seems to work if you use the dock in the "bottom" position and then it seems you have to move the mouse to the very bottom of the screen. I think the oddities are just less noticeable with auto-hide on. It doesn't work for a "side" dock at all the side dock is now much more bright/opaque than it used to be (uglier IMO but then so it everything in Mavericks that looks like iOS7. I think Jonathan Ives should be fired for such ugly interface changes, especially in iOS). I don't care about "leather textures" and things like that, but things like the graphs and highlights in something like Activity Monitor are just harder to look at, somehow. They're too minimalist (like wire-frame versus a full 3D render). I preferred Mountain Lion's look, but I wanted the multi-monitor improvements in Mavericks and OpenGL 4.1 support so I have to put up with it all.
I don't know why they can't simply just offer two docks like they have two menu bars, at least as an option. That would solve everything, IMO. I prefer the side-dock so I get 100% of the vertical space usable for browsers, etc. With widescreen monitors, it's the vertical space that is in short supply, after all.