http://www.fourmilab.ch/documents/cosmic/
It's easy to record something cheaply, but as other commenters already wrote, it's hard to recognize what causes the "average" counts in any time period. The author of the article measured the variations dependent of the time of day 17 years ago and it seems he wasn't able to explain them since. At the time he used a 486 machine and a Geiger counter connected to the serial port, today something like Raspberry Pi would be more convenient for the computer side and less power hungry.
He published what he recorded, so before doing anything, check his data to see an example of the results that you'd have in such a setup.
The app is https://play.google.com/store/apps/details?id=com.rdklein.ra....
A release from NK or Russia, by the time it hits your Geiger counter, will likely be so low that it will be lost in the noise of background radiation. And local sources (such as radon gas) would mask anything but significant nearby events.
The reason why France identified the release is because their detectors can determine different radioisotopes.
It's a little like the difference between a photovoltaic cell and a camera. Your Geiger counter can tell when the "light's on" (presence of radiation) but it takes a different instrument to determine that it's Ruthenium 106.
You're much more likely to get an increase in background going into your basement (because of Radon daughters) than from an nuclear release halfway around the planet.
I know Yodobashi ships some items internationally, so it might be worth checking both of their web sites. They're just hanging on the wall in blister packs, so they appear to be cheap commodity items. Maybe $50 is my guess. I never looked at the tags.
For example the FTLAB FSG-001. This is a devices that outputs the result to your headphone jack.