Did you know you can build your own custom Twitter interface?
Since Twitter changed to 100% OAuth support you are now required to have a Twitter Application to post to Twitter. This can be seen with how a lot of the WordPress plugins work, which now require you to setup an application and save your OAuth keys so that they can post to Twitter.
You can do the same thing in a stand alone application and add functionality specific to your needs.
There are several benefits including but not limited to, having your link and name appear at the bottom of each Tweet as seen below.
You can also write custom routines to help you issue better Tweets.
I did this on my own Twitter App page with my Follow Friday Tweets.
I always hated the FollowFriday Tweets that are just several links to other people with no explanation of why I would want to follow them. So I built a routine where I can input the persons Twitter name, a reason to follow them and the result will always be the same formatted Tweet.
Each Tweet has the #FollowFriday hashtag followed by the referenced account and an explanation as to why I recommend them, and finally the #ff hastag to end the Tweet.
When I am on any web page I click Auto Post, and a Tweet is created and sent that has the Title of the page as the body of the Tweet, and a shortened link is included to the page. And of course they are branded with my link for each Tweet.
If you have a little time and programming help, I would highly recommend using a custom branded Twitter strategy.
Think outside the box!
Every little bit of exposure and linking helps !