Anonymous participant 203 I definitely was not asked to provide any information about a criminal record. I do not think this is typically required for DTV.
I just did this through the LA consulate. If you are in Hawaii, you apply at the LA consulate. You need to apply for the main DTV holder first (your husband). Once his DTV gets issued, you and the kids apply as dependents. LA Consulate is very fast. You will get a decision within 3 business days, I predict.