Inside equals to the American practice. If you want to write British English, you're wrongly informed.
You're supposed to use single quotation marks, reserving the double quotation for quotes within quotes. As so;
'I want to be a Vagina', said Paul.
'A Vagina?', responds his mother.
'Yes, I read about it in "Mangina Magazine"'.
Full-stops, commas, question marks etc, only go inside the quotation marks when they are a direct quote; from the sentence of a newspaper, for example. Or, as in my nice example, a direct quote of speech.
Quotations more than two sentences in length should be indented and not have any quotation marks. Reserving single quotation marks for any quotes within the indented quote.