The title to this question is sort of long-winded but the example here should clarify it.

Which of these is correct?

1. Who should be baby-sitting your children, your neighborhood teenagers or professionally trained people?
2. Who should be baby-sitting your children? Your neighborhood teenagers or professionally trained people?
3. Who should be baby-sitting your children? Your neighborhood teenagers? Or, professionally trained people?

I think option 1 is definitely wrong. Option 2 or 3 could both work but I am not sure.