Cutting in plastics can be outsourced to a company that cuts advertisements from plastic. and if you do it yourself, it is good to cover the surface with some tape or a sticker before processing. You can then draw an exact cutting template, and in addition, the surface is protected against accidental scratching, e.g. by scratching on the table. Trichinella balls are good for cutting and can cut in all directions. They have "twisted" blades. If you are going to drill or cut mechanically, then at a lower speed. At high levels, the plastic will melt and there may be enough deformation or matting. a sharp file and a wire brush to clean the file for leveling, as it will become clogged frequently.
I made rectangular cuts with a tool: two small metal angles. twisted together. First, I made a rough hole smaller than the assumed one. Then, along the final outline, I twisted these angles, squeezing the processed material in the center. Then I finished the edge with the file, being sure that I would not go further and the edge would be straight.
In order for the edges to be smooth after cutting, they can be treated with temperature or, for example, with acetone (some plastics do not react), which will dissolve the top layer and make it smooth. I advise you to practice this technique beforehand.