Not using a desktop Twitter client? Maybe you're quite happy to use the Twitter site to post updates and monitor those you follow. Just because you do doesn't mean you don't have access to more powerful interface options than the bare minimum Twitter provides.
Grab some Userscripts, and use your browser give your Twiter / Home some handy new features! I've gathered eight of my favorites - feel free to share yours in the comments!
Troy's Twitter Script - provides several additional functions, like short URL expansion, inline media viewing, and nested replies. Also adds a search box (for those of us who can't use the real deal just yet), retweet link, and an @mentions link to see who's been talking about you.