Check out this video from J.J. of Reality Survival, What he would do after a self defense shooting.
In the video he gives an example of what you should say to the police and I really like it. Instead of just lawyering up you give a small explanation and show that you will cooperate while lawyering up.
"I would like to speak to an attorney before I provide a written statement or answer any questions. But I want you to know that I am the victim of this crime and that I was afraid for my life. I felt that if I did not defend myself the criminal was going to kill me. I will fully cooperate with your investigation and I will sign the complaint against the criminal. But because the issue is so serious I would like to consult with an attorney before answering any aditional questions."
He also gives some aditional advice that I thought was good and I added to it to further expand your actions that you should follow thru with.
As soon as you stopped the threat, kick the criminals weapon away from him and do not touch. You do not want your prints on it. When the scene is safe, make a brief video and pictures of the scene, do not speak while you are filming, your attorney may want to use your video in court. If there is a serious fact that should be pointed out then make a very quick secondary video. Holster your weapon when officers arrive to show you are not the threat. Show arriving officers any evidence on scene. Any casualties and if you received any wounds. Also point out any surveillance cameras in the area(some cameras are on a loop and if you do not remove the video it may get recorded over). Point out any witnesses that saw the incident happen. If anybody tries to leave before the police arrive ask them to stay. If they still insist on leaving then take a picture of them and/or their lisence plate number.
Forward text/email copies of your pictures and vidoes to another source that law enforcement cannot immediately seize like an email account that is not accessible from your phone for safe keeping your attorney would be a very good recipient. Keep your phone password protected and do not release your password until you speak to your attorney. Get the names of reporting officers, badge numbers and the report number of the incident for your attorney.
Somewheres in the process after the scene is safe you will want to provide first aid to other victims and the criminal or get a bystander(s) to assist you in rendering aid. Becareful that evidence will not be disturbed or destroyed. When the criminal tries to sue you for shooting him or her it will look better that you provided aid after you defended yourself from being attacked. Keep your mouth shut except to your spouse or your attorney. There is no statu of limitations for murder.
Something to consider is that 911 will try to keep you on the line until the cops get there. Either do your quick video before you call or politely but firmly tell them you have to go and hang up on them.