Twitter’s search tool has just undergone a slight makeover with a number of new features that should help get users to the information they’re looking for quicker than before.

The most noticeable upgrade is the addition of autocompleted search suggestions that appear below the search box as you type. The dropdown will show terms that you might be searching for, as well as Twitter accounts — whether you follow them or not — that may match what’s being typed in the search box.

After completing the search, Twitter has added a new filter to the tweet results. In addition to being able to see “top” or “all” tweets, users can now see tweets from “People you follow.” This is a very welcome filter that you’ll use a lot when looking for a tweet from your stream that’s a day or three old.

Other upgrades include:

spelling corrections for misspelled terms

related suggestions

real names and usernames in search results — tweets that include either a person’s name or his/her Twitter handle will appear in results when searching for that person

Twitter says the upgrades are already available on Twitter.com, while its iPhone and Android apps are getting autocomplete, spelling corrections and related search suggestions.