For 130 USD you will get a ride there from Kiev (2 hour ride), a luxury dinner and a full day in Chernobyl. And its not a joke. More info Solo East Travel
One individual told me that he even managed to bribe local military to do some shooting in a forest with AK-47. Don't know how much truth is in that but you can always try. But there is military living on the outskirts and also some resettlers on farms on the outside. There is a scientist that lives on the outskirts that farms and eats fruits and vegetable grown by him there. Well everyone needs 'five a day'.
I was also advised to take a radiation counter in case I fancy going there. Its apparently better to avoid areas with high radiation.....I would never guess
I've met people who live there. None of them had more than one head. All of them were alive.
If you stay there for a long time, your blood cells will get knackered and you'll be susceptible to infections. (Sorry for the jargon, us medickal professionals just can't help it). Don't stay more than 10-15 years.
For real thrills, seek out a job at Chernobyl, rather than just lunch. I read that they were offering 50,000 US dollars a day for anybody mental enough to dive into the black, radioactive acid bath that is the reactor vessel and dismantle bits that the robots can't get to. Despite the lead codpiece, you'll get your entire lifetimes safe dose of radiation in one day but you will save a fortune on vasectomies.