I’ve got two laser engravers - the EleksDraw A3 and the EleksDraw (which also has a pen lifter servo that can be fitted in place of the laser, to make it a plotter).
(The A3 was given to me for review after I made reviews about the EleksDraw).
My experience of desktop laser engravers:
Don’t expect to actually cut anything thicker than card, thin leather, art foam, etc, or anything more resilient than plastic, wood, rubber, etc.
That said, assume the laser is going to cut through whatever you point it at, and engrave whatever is underneath. Don’t run this directly on top of your priceless walnut veneer table - get a hefty board to stand it on.
Don’t expect to cut or engrave anything that’s white - the laser just scatters and bounces off (also see eye damage notes below)
Holy crap, they produce a lot of smoke, and even if it’s just an engraving on wood, you can’t just do this on a table top in the house - you’re going to need to either run this in your garage with a fan creating a crossflow of air, or you’re going to need to buy/make a fume hood with powered extraction.
Do Not Look Into Laser With Remaining Eye. The laser goggles they give you with some of these devices are not really good enough - and even a relatively low power diode laser such as used in these devices can blind you quicker than you can blink - and this also applies if the beam hits a reflective bit of the object you’re trying to engrave and bounces off that into your eye. Make sure the eye protection you use is properly rated, and if you can, make the windows of your fume hood out of a material that absorbs the particular wavelengths of your laser (you can buy acrylic sheets with these specific safety ratings)
The software might be weird and buggy - at least with my EleksMaker devices it is - they use a proprietary thing called EleksDraw, and it’s not great. It has to be run as administrator and even then, it sometimes just crashes, and certain functions simply fail to work at random. Most cheap laser engravers use an arduino-based control board that can be flashed to work with more common and standard software though (mine can, but I am reluctant to take the plunge) - if you can, use software that is common and widely used, just because there will be more help and commentary out there to get you going.