Since you said your problem is higher strings at higher frets , I think we can assume it's a high action problem , this can be adjusted by lowering the bridge towards the guitar body taking care that there is no fret buzzing at any fret (specialy higher pitch ones).
This is a super easy job , but if the results didn't satisfy you or you couldn't get the action low enough without buzzing you'll need to do some work with the truss rod.