keystring
Per note, of course. In my system you can assign any note its own left or right "hand" to play it with the fingers.

• the example is a bit redundant but essentially means notes on the right of the dashed line are meant for the right hand, regardless on which stave they would be written – this line overwrites the typical G and F clef staves as they usually imply which hand is in charge.
For example, had the dashed lines on those "smiley" looking noteheads were on the other side, essentially that would mean the hands had to cross… because of how the piano layout is – one directional and ascending from left to right which essentially makes all pianos left-handed! But also they make the natural requirement for the left hand a bit extorted in terms of dexterity.
I am writing an article on that! Here is an excerpt:

It can even be modified to show the exact finger then but there has to be a convertion regarding the symbols of each finger. Small letters is fine, I guess: t, i, m, r, p
but those small letters might interfere with lyrics, dynamics such as (mf, pf, p,).