Formica (brand but made by multiple companies) comes in sheets like plywood only rolled up, and it is not too expensive. You need a good bench surface to work on, appropriate cement, and a roller. Then a finish bit for a small router makes the job get done better.
You coat your project and the Formica with the cement, let it set up (when it is clear it is ready), and lay it over the project piece on top of dowels, sticks, or whatever. Once you have it in the correct position, you remove the dowels starting at the center and working your way out. Once it is in place, you roll it out to get out any air bubbles. It's not too hard to do. When it is set up, you route the edges clean.