This site puts a searchbar directly into your taskbar. Kept closed when not being used it occupies only three icon spaces, opened it occupies about 450 pixels.
There are system restrictions on sites operating in taskbar windows and certain keyboard combinations, such as Control + A for select all, will not work. Most of these functions can be accessed through right-clicking the mouse though.
Click to see a screenshot
If you do not have enough room in your taskbar, there are other places that you can put the taskbar window, for details see the Taskbar Tutorial