If your wood is not very dirty, opt for warm water alone. In rare cases, when stains are heavily set-in a pH-neutral all-purpose cleaner is appropriate for petrified wood.
Use only warm water if you clean your wood regularly and it’s not very dirty. The less products you use on petrified wood, the better.
Make sure you have a good grasp on the wood when you’re sanding it. If you have a clamping device, use that to secure the wood.
It helps to work in a room with good lighting so you can easily see any scratches.
If you want very shiny petrified wood, you can use a grit pad of 8500. This is an extremely fine grit pad and will result in very shiny wood.