It's generally considered polite to place other people before yourself, so while both are grammatically correct, it's better to go with the first way. Like holding the door open for people walking behind you-- you don't HAVE to do it, but it's nice, and people might think you're a little rude if you don't.

Whether or not you place the question mark within the quotes depends on whether you're speaking American English or British English. American English places all punctuation inside the quotation marks even if the punctuation is not part of the quote, while British English places non-quote-related punctuation outside the quotation marks.