First of all, congratulations on your willingness to serve. Far too many people are looking for a way to get out of it.
However, there's really nothing you can do other than showing up, to increase your chances of being picked. If it's a lower court, it's going to be pretty much at random. If it's a higher court, what the attorneys are looking for in an ideal jury member is going to vary with the case.
At least, that's been my experience with jury duty as a potential juror (I've been called four times). I am not an attorney.