I'm due in September with my first too! Lucky, us, a summer of record breaking hot temps...
Anyway, my Mom mentioned this new study to me also. Of course, she prefaced it with "this isn't to worry you" so I worried about it.
I know a Geiger counter is needed to measure for radiation, but as the other posts mentioned, radiation is everywhere in limited amounts. I talked to my husband who works with "incident management" specialists (i.e. first responders -like police firefighters paramedics etc-) who deal in the technology and strategic planning for, say, a terrorist attack or chemical spill. He says he's seen them do demonstrations on the radiation emitted from a banana, followed by the explanation that only certain amounts are harmful blah blah blah.
SO...I guess we shouldn't panic. However, I've bugged him about it (what are pregnant wives for after all) and he's promised to ask his contacts about how one would go about testing and what the safe limits would be.
I'll post anything he comes back with. If you want to contact me directly - do!