I think gaming her in front of her mom and dad is one of the best things you can do. It shows that you are not only bold and courageous, but you have good intentions because you don't mind them being around to witness. A guy with ill intent would shy away from being seen by a girls parents.
When I hit on cashiers I usually run with the same line unless their is something more relevant to the moment of the conversations...
" So.. you gon write your phone number down on the receipt

"
Its 50-50.. If they say anything other than "no".. Anything other you just say " Do you have a pen back here" .. They say " yes " .. And you say " Alright, write it down and I'll call you"
But once again, its never about what you say as much as it is about HOW you say it. With proper confidence you can say almost anything and it will work.
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