Some departments used to consider military experience in place of a degree, but from what I've seen, I'd say go for the degree first, or at least in conjunction with, a job in the field. The older you get, the harder it becomes to dedicate the time and energy toward schooling, and other factors might come into play, such as a family. Degrees will always help in your career, and the question you might want to ask yourself is, which field to obtain your degree in, because some might place you more highly on the candidate list. The type of law enforcement career you want could help you determine which field of study to choose. In some positions, an accounting degree might be best, due to money laundering and criminal enterprise aspects of some enforcement, while pilot training and licensure could be helpful and give you an edge in a different department/agency.