An inexpensive CO2 laser is a step up for sure. And, they aren't too much more $$. But, with their enclosed architecture, your work size is limited. And, they take up a bunch of real estate. As to the quality of the burn, the one the OP was considering will produce a quality good enough to laser portraits. Of course, those must be manipulated in another program like Paint 3D or Gimp, Inkscape, Photoshop or, the like, before importing to the laser software.
The neat thing about the CO2 machines is that, with their 50+ watt capabilities, you can etch or cut a wider variety of material. A friend has an Epilog machine...around $8K... But, he makes some fantastic knife scales and pistol grips in an ivory like material.
'The true soldier fights not because he hates what is in front of him, but because he loves what is behind him.' G. K. Chesterton
Please edit your profile with a name and location so we can better assist you and make for a friendlier forum.