Hi Nathi,
Sadly there’s no way to mirror them in the way you want, due to a technical limitation with the way keyframe handles work.
In most places, Blender knows what the ‘active’ object and selected objects are (be it bones, or objects in 3d space, video clips, sound clips etc)
However, keyframe handles are this weird forgotten thing that only lives inside the context of the active graph editor. There is no way to interact with the active handles outside of clicking it with your mouse in the editor.
I wrote a hacky script that can do it, but you manually have to tell it what the frame numbers are – so the easiest thing to do is just to manually do it.
It might feel weird that you have to destroy the curve after you took so long to find its perfect spot. But it doesn’t take to long to recreate it after selecting both handles and moving them together. With a bit of practice you learn to remember to move them together.
However, in the ‘real world’ of animation, you rarely will have to do this anyway.