How to introduce yourself to a stranger on Twitter?

[lala]

I came across a pretty interesting Twitterer (we follow the same actor), so I started following her profile...now what? hahah. Do I DM her to introduce myself, like, "hi, this is blah blah blah. I like your profile", or something? Is a private introduction polite, or intrusive to a stranger? Do you just jump right into the main conversations with an @reply? Everybody else I follow is either a close, long time friend, or somebody famous I'll never meet, let alone speak to. I've never tried communicating with a total stranger before, and don't want to commit some annoying faux pas
You make a very good point, Emma Jane <3