Over time I've sort of evolved into my current state of handling firewood where I figure, the fewer times I pick up a piece of wood, the better. So, I do all my splitting in the woods where I cut wood. Leave all the little shard and splinters, busted off chunks of bark, piles of "curly fries" (I just read that term on here tonight, and knew instantly what it meant), all the junk, stays in the woods. If it goes in my truck, it gets burned in my stove.
When I get home, I try to park the truck so I can pick the wood out of the truck and stack it where it will stay (nice and neat and ends of the stack cribbed off) until I go out to get it to throw in the stove.
The stacks stay uncovered all summer, then covered and wrapped with visqueen (sp?) just before it starts raining. Leftover wood from last year (I try to keep a couple years ahead on wood) gets uncovered in the summer and re-covered in winter.
