Managing your time on twitter and organizing your followers depends of the reasons you are using Twitter. Most of the users do it for fun and to meet & chat with other people, some users organize full marketing campaigns on the social networks and use this one for audience and clients gathering. In any case, interacting with other Twitter uses is almost mandatory in order to meet the full social and full features of this website.
The most important thing you must remember when you are using Twitter is authenticity. In 2 words: be yourself. Twitter is a microblogging website designed for people interacting with other people, the result is a community of men and women talking about whaterver they like or love. Repeating all the time what others say, without adding nothing personal won’t help in any way getting followers. Everybody has something to say, there are listeners for everyone. So start saying something… or, in this case, write tweets. Don’t be very formal. Experiment and be casual.
Avoid mundane tweets about what you ate at lunch or dinner. Or about the weather in the winter mornings. Nobody might care… write instead about your passions and share your activities in a way will make people listen. They will definetly react to that. If you represent or are a part of an organization you can always write about stories (more or less funny) with people from the team.