DEXA scans provide some pretty interesting information about bone density and body fat. My question though is about the radiation risk, particularly if you are going to do any kind of regular testing. A surface-level Google search yields a pretty definitive clip from CDC. I think if I wanted body fat data, and particularly wanted to test it multiple times, I'd try to find someone that does hydrostatic weighing.
--edit:
I'm not as familiar with Bod Pod, but I gather that it uses air volume instead of displaced water volume. This also seems like a good option.