A quick guide to jumpstarting your followers on Twitter.
Unless you already have a strong reputation, offline following, or brand name that will mean people look for you specifically on Twitter, you need to find another way to get people's attention.
You could tweet usefully with lots of niche keywords to help people find you when they search and you can put all the right keywords in your bio on your homepage, for the same reason. But this is very passive and gives you no control over speed of following. (you should niche tweet in the long-term still)
You could @reply people in the hope of starting a conversation, but this is very time-consuming. (you should engage tweeps in the long-term still)
For most of us unknowns, the only way to get people to follow you, quickly, is to follow them, and then be so irresistible they follow you back.