1- open spoiler
2- hover mouse pointer to the center of the picture
3- right click to summon a side menu
4- select save picture as..
5- download the high resolution picture that BBT resized
6- profit 
I have a personal request however, I looked on many sites and gathered around 40 Chobits (Chii, Freya, and a few other girls in the show) wallpapers, however they were all low res (1024x768) so I would like to ask some of the nice guys here to help me gathering more pics, they can be echii (as was the nature of the manga/show) but nothing nude or exposing, I have a limited sources as I don't wander around as many sites as most of you guys do, so I'm hoping you can flood my PM box with pics that I am pretty surely not having, I will be thankful for your help,
my 5 year old niece saw one of the pics I have from that show and asked me to give her some, of curse i will not give her the echii ones, but some safe I might print for her to colorize and stuff, she likes many of the characters from some shows I do watch when shes at my place sometimes, She likes Ika as well, and dunno if she actually can understand what was going on in some of the episodes of Hayate, the combat butler
I don't let her watch the "unsafe" stuff, some Arakawa under the bridge I don't allow her to watch that, there are very violent scenes sometimes, especially when Sister is involved somehow, but many eps are safe, I think she kind of gets what they talk about in them, and she is already pretty good with reading english (!5yo
) when she comes over she wants to watch Ika with me
well, no wonder, everyone likes Ika 
How about this sequence?
1- open spoiler
2- press left mouse button and hold
3- drag to address bar and release mouse
4- profit

4.5- Click on the image to zoom in because it is still bigger than your screen and your browser resizes it automatically.
(tested in FF and Chrome)
About your request: go to
konachan.com, search for "Chobits" and check "Safe only" (no ecchi) in the advanced search. Optionally, find your way to the
Image Search function, upload your image, and check if there is a higher resolution version available of the same image in their site network.