Oddly enough my old house was actually three minutes walk from this site, I must have walked past it hundreds of times on my way to/from work. When you cross the river, there is still a plaque on the bridge that reads something like, near to this site the Bones of Richard III and it goes on to say the story that the bones were dug up and thrown into the river.
I used to always wonder when I was trudging across in the rain, still half asleep if the bones were there still at the bottom of the river, stuck in the mud somewhere along the bank waiting to be found. And now there's the chance I parked my car on him.
There's a nice statue of him on the park nearby put up by the Richard III society.
My dad made me laugh actually, when the story came out that whoever had drunkenly decided to dig him up and lob his bones in the river got the wrong church. As he said, "Yep sounds like Leicester!".
Not sure how long the DNA will take - I think we are used to seeing it happen immediately on crime shows, but I'm told its quite a lengthy process. I'd also wondered if they will inter him in Westminster. But then the authorities have often been a bit odd with this sort of thing. As far as I'm aware, they still refuse to do DNA testing on the bones in the casket there thought to be the young princes in the tower. I've often wondered why this is.