People have a natural instinct to defend themselves when someone accuses them of wrongdoing. That often involves talking to the accusers. However, if you are facing criminal charges for homicide, you may want to rethink that instinctual response.
Saying anything could jeopardize your defense and your freedom. You already know that you don't have to say anything after an officer places you under arrest, but you may also want to remain silent even before that. Your rights under the Fifth Amendment to the U.S. Constitution are yours to exercise when you wish, and it may be a good idea to do so sooner rather than later. The only thing you should tell law enforcement officers is that you wish to invoke your right to remain silent.