Dread using a hole saw? The friction heats up the blade to the point where it dulls the blade, burns the wood and actually heat-bonds the plug inside the hole saw.
Today, thanks to John Baker’s great tip, a cooler head prevails. Before sawing the hole, run the saw lightly on the wood to scribe the hole’s circumference, then drill two 3/8- in. holes just inside the circle. As you saw, sawdust falls through the holes rather than binding, clogging and burning against the cutting teeth. The saw runs cooler and cuts faster, and the sawn plug pulls out much easier. P.S. If you saw the hole until the pilot bit just breaks through the wood, then flip the board over and saw from the other side, the plug will practically fall out on its own.