Neither, you will find that most of us suggust you get a degree in some unrelated field that also interest you. A degree in criminal justice or homland security is not looked on any more favorably than a degree in English. Depending upon what type of department you have in mind some other degrees will actually make you a better candidate, such as accounting for the FBI. Good grades and a solid work ethic with a clean background is your best bet for being hired. Think of it this way, you get hired on a department and within 5 years you get injured and can no longer work as an officer. What good does that CJ or Homeland degree do you then?
Excuse me Officer, I have a stupid Question. "No problem, I've got a stupid answer for you!"