Penis or Cock

As a non-native English speaker I would like to know which word is used for a penis in the UK, the USA and other parts of the world. I found a list in the internet but it is not said which are commonly used:

dick
manhood
pecker
peter
prick
shaft
johnson
penis
phallus
rod
schlong
weenie
willy
wood

Which words are vulgar? Are some words used for kids? Which words are used by nudists?

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