Checkpoint
With Chernobyl being a remnant of the Soviet Union, the entire complex is now managed by the Ukrainians, whom gained independence in 1991. To visit the site, it's necessary to apply for - and receive - permission from the Ministry of Interior. This involves submitting your name, passport details and job title to the relevant body. Quite a few tour operators will arrange this for you, so you can just kick back and enjoy the two hour ride 65 miles north of Kiev and you'll soon encounter the 30 km outer exclusion zone checkpoint where your details will be processed. Incidently, Chernobyl lies just 10 km from neighbouring Belarus in where over 70% of the radioactive fallout settled.
Spent Fuel
Here is where the storage of spent fuel rods are maintained. Not totally exciting, unless you happen to be connoisseur of Spent Fuel Rodology, in which case I'd imagine it's a veritable Hanging Garden of Babylon to your senses.

