Problem with camera follow script

Hey,

I have a very simple Camera Follow script, following a player running on a platform (with AI running besides him).

Now when the player & AIs all move on the all axes, I have 1 of the following issues, depending on which approach I use:

1. Directly snapping the camera to the player shows the player smoothly, but the AIs move very jerky, snapping all over the place.

2. Lerping the camera to the player smooths out all AI movement, but my player will now be shown very jerky.

Some notes:

1. I am using LateUpdate for my camera follow script

2. I don't use rigidbodies so it's not related

Camera snapping code:

         transform.position = ToFollow.transform.position + CameraDelta;

Camera lerped follow code:

  transform.position = Vector3.Lerp(transform.position, ToFollow.transform.position + CameraDelta, Time.deltaTime * 15);

Thanks