The Chobits manga is really really popular in Japan. Some parts of the manga actually varies from the animation shown on TV.
If you would like to see the Chobits the CLAMP artists really meant to show you guys, please purchase the mangas and check it out.
It's especially enjoyable to read the manga first and then see your favorite characters come to live in the actual anime! Despite the slight descrepancies between some of the scenes, the basic story is the same.
Both color and black/white scans are available in the image database, more manga summaries will be posted shortly.