When it comes to nuclear war, the best place to hide is somewhere far away from the target. The Non-Proliferation Treaty (NPT) established in 1987 severely restricts the spread of weapons together with the information and technology used to manufacture them, which has altered the nuclear landscape. Iceland is a great option due to its physical isolation, neutrality on the government scene, and inhospitable climate. New Zealand is another great choice due to its lack of nuclear weapons, almost no military, plenty of space to disperse, and being far from everywhere except Australia.
Countries that have long been important bases for the United States military often rank high on the list of places that will destroy nuclear bombs. Guam is a beautiful land, but isolated, with few resources and no threat to anyone. French Polynesia is too dispersed to warrant an attack, and far enough from any coast for water to sink nuclear rain before it falls amid trade winds. Easter Islands would be a solid option if you want shelter from the initial bombs, as well as consider the ability to cultivate the land and try to rebuild a life.
Tristan de Cunha is located about 1,700 miles off the coast of South Africa (Cape Town), which means you would be safe from at least the initial explosions and the first rainfall. Antarctica could be the safest place to go in the event of a nuclear war because the Antarctic Treaty banned all nuclear weapons detonation there. It is also far from any important goal. Although it's a good place to avoid bombs, it's a terrible place to live.
You may need to pack enough supplies if you go there. When looking for a safe place in case of a nuclear attack, it's important to consider physical isolation, neutrality on the government scene, lack of nuclear weapons, almost no military, plenty of space to disperse, and being far from everywhere except Australia. Antarctica could also be an option due to its ban on nuclear weapons detonation.