Print-and-cut applications have become more and more popular in the market. To create print-and-cut applications, you need a laser with a CCD camera for cutting after printing.
If your budget is limited, the use of jigs can be helpful to handle positioning issues. Besides that, choose a proper wattage for the laser according to the material you often use. To cut or engrave thin materials, like sheet paper or thin acrylic, a low wattage 30W or lower is enough; if thick materials like wood are used, a high wattage of 40W or higher will be required.
Lastly, the workable area is one thing you need to look over. You may want to match the working area of a printer with that of a laser engraver so that a laser engraver can work on the printed substrate and optimize the utility of the space to accommodate two pieces of equipment.
Learn about combining laser engraving with UV-LED printing.