Router bits for use with Slate

Hi guys
I need some advise, I have a cnc router that I have been using for 2d and 3d wood work, I would like to start curving things in stones mainly slate, which router bits do you recommend me to use? and why?
Using the same machine to do stone curving will it have any negative effect on the machine?
Is there anything I need to consider before I start stone curving?:witless:

Any carbide will do to start. Then get diamond coated ones.
Make sure you cover the screws up well as the dust will ruin them!

Peter