This is by no means an exquisitely built egg holder and pales in comparison to most others on here, but I thought I would post it here anyways as an example of what can be done with some scrap wood and only basic tools. I grew up in a woodworking household, but lack the tools necessary for true cabinet-making and joinery.
A little backstory: I recently acquired a LBGE in a table from a dealer. I previously had a medium that was mounted in a home built/modified cedar outdoor bar. It was a little high for comfortable use and too big now that I have the large in a table. I wanted something smaller to hold my medium that I could tuck away in the corner of my garage when not in use.
I scrapped the old bar and used nothing but the scraps and hardware from it to assemble this project. It is all cedar lumber. I even re-used the SS deck screws. The only tools used was a mitre saw, tape measure, cordless screwdriver/drill, and a random orbit sander. Time investment was less than 6 hours and that included dismantling the old unit.
It is not the prettiest or the fanciest, but it is solid and serves the intended purpose.
ETA: I intend to create an air gap between the egg and the paver but could not put my hands on my little egg feet at the moment.