Recently active topics in Twitter tagged with url shortening service

Can Twitter users have the option of choosing Tweetburner as the URL shortening service (instead of TinyURL)?

I mostly use Gtalk/Gchat to post tweets to my account, and when a long URL is posted via IM, the default URL-shortening service is TinyURL.

I'd really appreciate the ability to choose Tweetburner as my URL shortening service because:

a. it provides statistics ( such as the number of times a link is clicked ) which don't seem to be readily available with TinyURL; and

b. it lets me view all the URLs that I've tweeted in one convenient list.