Conspiracy means that that there is evidence that you are involved in one way or another in the criminal
activity in the case, and you can therefore face penalties as if you were the principal actor(s) in the crime. Obviously, the evidence is more damaging against some members of an alleged conspiracy than against others and that will play a part in your plea bargaining negotiations.
It's certainly possible that you made incriminating statements to the police and that they are being used against you, but the very fact that you were in there talking to them in the first place would indicate that they had other evidence against you as well.
Being cooperative and providing the Federal government with evidence against others is, in general, a path to a more favorable sentence
. How much more favorable will be determined by the quality of the evidence they get from you, as well as by the facts and circumstances of your own involvement in the case.
One thing that's true is that you never have to take a deal that you don't like. You are always entitled to put the government to its burden of proof beyond a reasonable doubt and go to trial
on the case. The Federal government has a 98% conviction rate, but some do beat the charges. You will need to discuss with your lawyer what defenses you might have and what your maximum risk would be if you are unhappy with the plea possibiliities and want to go forward to trial.