Hi
Most of the MDF type laser etching machines have come from the integration of plotting - vinyl sign cutting and steel fabrication. The Graphics side use Illustrator and that type of program, where the Fabrication side came with CAD-CAM software liked to CAD.
Basics, you’ll find most will accept DXF and DWG AutoDesk AutoCAD files. Best in 2007 and earlier. R12 DXF is most stable.
As for layering - Layering is more about the ability to work with the file in CAD. Where its interchanges to the Laser software this is mainly a Graphic issue and the difference in colour is important. The colouring is based on the engineering side where the laser needs to cut to an exact side of the line, allowing for the Curf - Taper of the laser when cutting through. Where engineering tolerances are important for fit the colours define whether the cut is on the inside or outside of the object or cut centrally.
Check with who ever you go with as to their preferred layer-colours.
3D cannot be used. Polylines may not be seen. Circles created from exploded lines may not be visible in the laser software so send a PDF plot with your files to compare what you send with what they import.
Sketchup. This is really not a CAD package. It has its uses but not really as a tech tool. The circles in sketchup are not true and will be faceted. I know that the laser by dint of its motor action will 'facet' some curved but at a lesser rate with a CAD produced curve.
The main difference between CAD tech software and Sketchup is again its route purpose. Sketchup was a rendering package that has gone on to try to be more than it is. As such the difference is.
CAD packages work in a Vectored way x'y. Sketch Up is Scalar as used in the print industry.
As for getting them cut etc, its as much a to and fro exercise. Also not the tolerance of the base materials is not tight - MDF so don’t expect the same level of precision form 1 cut to the next. Plastics and steel is a different matter as they are not so prone to environmental distortions.
You will also find that each laser has its own foibles and the cuts will vary again, machine to machine, and depending on the age of the laser tube and the cleanliness of the lenses and the machines.
Hope this helps.