Hi
I am a college graduate but not yet a law student (will apply this fall).
I have 2 offers to intern at either the public defender or state attorney's office (not in any particularly important district).

What should my considerations be for picking either? How would either internship affect my chances at big law?
If i never want to work for the govt/as a DA then should I not to the DAs office?
Is either more (relatively) prestigious than the other?