Those are not really 3 "options". The "second option" is DACA, which doesn't give you any legal status or path to legal status, and so is not a solution at all. It just makes you temporarily not deportable.
The "first option" and "third option" are the same -- your father sponsoring you for a green card (i.e. for you to become a permanent resident). This is the only real solution. I am guessing for the two "options" they were trying to describe your father becoming a citizen and then petitioning you vs. him petitioning you as a permanent resident directly. There is not really that much difference between the two; maybe they were not described clearly to you. In both cases, you are not eligible for Adjustment of Status, so you would have to do Consular Processing which involves leaving the country for a little bit.
If you were applying as the child of a citizen, you would be in the Immediate Relative category, which has no wait for visa numbers; whereas if you were applying as the child of a permanent resident, you would be in the F2A category, which currently has a 2+ year wait for visa numbers. However, in the case of child of citizen, instead of waiting for visa numbers, you would still have to wait for the petition to be approved, which takes a few months; this in addition to the fact that in order for your father to become a citizen (if he wanted to), he would have to go through the naturalization process, which itself takes some time. So in all it would be shorter but not be that far off from the 2+ year wait for F2A category. Also, the two "options" are not mutually exclusive because your father can petition for you as a permanent resident, and then if he becomes a citizen, your petition can be "upgraded" to IR category, so there is no harm in petitioning you now regardless.
Also, I am not sure what you were told about this "6-9 months", but you are not going to be done with this in 6-9 months; it might be more like 2-3 years* in the F2A category. I am guessing they were basing this on the visa bulletin at the time your father filed the petition earlier this year. In the first few months of this year, the visa bulletin showed September 2013 for F2A, giving the false impression that the wait for visa numbers was just several months. But that was a fluke cause by the fact that in Aug and Sep 2013, the F2A category was current. After Sep 2013, the visa bulletin hasn't moved at all, being stuck at Sep 2013, and in June 2014, it retrogressed to May 2012, where it remains now, so it is more than 2 years back. It is possible that more weird shifts will happen to the date in the future, but it's hard to predict.
(* Note: it's longer if you were born in Mexico.)
You can check the visa bulletin every month
here.