Several posts above refer to the likelyhood, or not, of needing to survive nuclear radiation, as pointed out this is extremely unlikely in most rural areas.
Possibly a risk in large urban areas, or near nuclear power plants.
I would urge anyone concerned to buy a geiger counter for detecting radiation, these cost a few hundred dollars.
Other precautions may, or may not be justified according to the perceived degree of risk. But without a geiger counter you wont know whether to run away, to hide, to use protective gear, or to carry on as normal.
Remember that danger from radiation is cumalative, a radiation level that is acceptable for a few minutes could kill you if prolonged.
Without a counter though you wont know.
Very basic precautions can increase your chances considerably, remember that the radiaton level inside a typical home will be about one tenth of that outside, simply staying indoors helps.
In a deep concrete basement the level will be about a hundredth of that outside.
Stocks of food, water, fuel etc. would reduce the dose received by going out to seek these supplies, and would of course be useful for other, and arguably more probable disasters.
Even a basic respirator gives considerable protection against inhaling radioactive particles, and is a usefull thing to have in case of chemical spills or fires upwind of you, which again are more probable.