It sounds like the Police were not sure whether to recommend that the D.A.'s office charge you with a crime. Instead, you were probably released, without being booked into the Jail, and "ordered in" to the D.A.'s office. It is, frankly, impossible to predict whether the D.A., after reviewing whatever reports the Police provide, will charge you with any offense or, if you are charged, exactly what the charge or charges will be. Going to the the D.A.'s Office, with a defense lawyer to speak for you, might help tip the balance in the D.A.'s mind in favor of not charging you if the D.A. thinks the decision is a "close call."
In your shoes, I would not mention any more details about the incident and, if I could afford it, would meet with and hire a criminal defense attorney now.
No question here, contact local counsel and get yourself an attorney before going to any charging conference. You're fortunate in that you still have an opportunity to curb potential charges this early in the game.