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Just be yourself and have fun! Don't be too serious with or about her when just getting to know her. Have a definite plan or proposition as to what you are going to do when you take her on a date,...

You could say to her, "May I please speak with you in private?" Then you ask her if she'd like to (go to a movie, have dinner together, see a concert, etc.) with you? Depending on how she answers...