If we're in the DC universe here then I'd ask him to take me under his wing! Working with Batman as a Batgirl or Robin? Even if I died horribly in the line of duty (or, more likely, a tragically hilarious batarang accident) I would've died living my childhood dream of fighting evil by moonlight, even if I win no love by daylight.
But, if Batman was like, "That is not happening. Pick something that doesn't involve me talking to you after this." I would definitely ask him for some money to spend on my education and my family.
And to commission a Batgirl costume as a consolation prize.