I find that if I carry a cane seat with me or drive through the cemetery (car or scooter) my angle for the photo is better than if I try to stand and take photos. That also means that I can't take photos of the flat stones very well. Someone suggested that I take the flat stones standing at the top and then turn the photo around, but they look funny when I do that.
If there is a shiny grainy stone like this
It is much easier to read if I allow the surroundings to reflect into the surface of the stone like this
This is the opposite technique to using the shadows to show the inscriptions on stones that have a more matte surface and deeper inscriptions.
If a stone is shiny, as long as it isn't reflecting me, or my car or any other transient objects, but only surrounding stones or ground, then I don't worry about it too much as there's not much I can do about the other gravestones.
If you have a reasonably good camera, for those shiny black stones with colored pictures like this
standing well away from them works much better. That picture was taken from about 20 feet away. This picture is cropped in to show the stone among other stones - it doesn't show the whole distance away that I was standing.