Can people carry guns around in the United States?

I just want to know for when I visit. In England, not many people own guns, I've never even seen one in real life. Can people in America carry guns in public? And are police officers armed? Some people have told me to watch out for the police as they are aggressive and often use their guns. Is this true? Should I treat them differently than I would treat British police?
Updates:
3 mo
Sorry that there's so many questions lol
Can people carry guns around in the United States?
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