Use the (really) minimalist Google front page.
lifehacker.com
lifehacker.com
alias "g" to "http://www.google.com/search?hl=en&q=%s
Putting this in the address bar also means you get incremental history of previous searches. If the term was long, you don't need to type it again. If you need to modify a recent search slightly, it's there as a template.
http://www.google.com/search?q=%s+site%3Aen.wikipedia.org
But if I'm searching the entire internet, I just hit CTRL+K to jump to the search box. Beatcha by two keystrokes! :-p
Incidentally, for Mac users it's incredibly trivial to set up a hotkey for the search box. I have it mapped to CMD-E, and it greatly eases my web flow.
(since that's probably obscure as the joke is old, that's a reference to the ancient copied at http://www.ahajokes.com/lig069.html )
There is only one box, it's a combo location/search box. Type in a url: you navigate to that url. Type in a search string: you navigate to the search (using google or whatever search provider you designate) for that string.
I'm not sure if this is pre-release chrome 4.0 specific or not, but when you visit different sites (wikipedia, amazon, youtube, stackoverflow, etc.) the first time you perform a search on those sites they are automagically registered in your browser as available search engines. Then, to search those sites specifically direct from the address bar you simply start typing part of the site name/url, hit tab to autocomplete the search provider (much in the way the awesome bar works in firefox), type your search terms and hit the enter key. Thus, 'wiki+tab+napsack problem+enter' takes you to the wikipedia article on the napsack problem, and 'yout+tab+keyboard cat+enter' searches youtube for "keyboard cat" videos, and 'ama+tab+coders at work+enter' searches amazon for "coders at work". It's a very elegant, very practical design that I hope catches on.
The only time I visit the google homepage to search something is when I'm stuck with Internet explorer.