Be very, VERY careful when it comes to choosing a department. "Police" administrators (I quoted police, because most of them aren't cops' cops) can ruin any semblance of a satisfying job. In fact, if they're jealous of your credentials, they can also torpedo your career. True in ANY job, but much less so in the airlines. I'm certainly not advocating how the airlines operate, but it can be a shock to someone who is used to the seniority system.
Also, be aware that LE can be incredibly frustrating. If you're in it to "do good for society," I can almost assure that you'll be out within seven years. You're only as useful as your local prosecutors. If you like the JOB, you'll love it.