Getting along better with the mouse and keyboard?

I recently got myself a laptop with which I just wanted to gamble, but as far as I can think I'm console player accordingly, I act relatively stupid with keyboard and mouse

Are there any programs or games where it makes sense to learn that or it just comes naturally after a while

Practice practice practice. You just have to get a feel for it. The only thing you can try is to play with the sensitivity of the mouse. I myself have a relatively low DPI / speed on my mouse.

Play in private games against bots, then you can practice it well without dying all the time (if you play fps)