I'm not sure what the benefit of Secure Google (https://encrypted.google.com) is. Big deal, when you're Googling in the airport or coffee shop, other people on the open WAP can't sniff your search terms? Hopefully you're not Googling anarchist cookbooks or kiddie pron in public to start with. They still store your search history, the better to target ads my dear. But if you still care about making Secure your default Chrome search provider, browse to chrome://settings/searchEngines and set the search provider to https://encrypted.google.com/search?q=%s

Around April 2010, Google implemented some search tweaks, in theory to increase relevancy of its search results. The upshot is that very often, one may enter an obscure search term (for example, "polemicization") and Google Search "autocorrects" to what it thinks you mean (for example, "politicization"). Being the super-literate type of know-it-all that I am, this "feature" gives me conniptions and more often than not its "corrections" are incorrect.

Fortunately, there's a URL parameter that turns off Google auto-incorrection: nfpr=1. So if we wanted to roll that up into our Chrome search provider setting, we'd use https://encrypted.google.com/search?nfpr=1&q=%s