Lol! Going through the twitter I was just about to forget what I was tweeting throught. The website of tweeter works too but there are plenty of third party applications to tweet. This tweetbar is one of which I am currently tweeting through. A easy to use interface.
https://addons.mozilla.org/en-US/firefox/addon/4664. After download it prompts you to add a account. After setting up the account you just need to write something on the address bar(Url bar) and mouse hover to the little bird icon then click '+' it will then post what you wrote to the twitter. For more information about the addon click here.
Download the addon from https://addons.mozilla.org/en-US/firefox/addon/4664