A trick that works every time is to fill the hole and behind the bearing with grease. Pack it in as tightly as you can. Now take a drift pin, a bolt the right diameter, sometimes even a hardwood dowel rod will work(whatever you use must be as close to the center diameter as possible. It can't be more than a few thousandths bigger or the grease will squirt out instead of pushing the bearing out.), and place it in the hole and take the largest hammer you have and smack the the drift pin. The grease will be forced to go somewhere, and since the hole is plugged, it will push the bearing out. You might have to do it in two stages, refilling the grease after the first smack. I promise it will work, and it isn't nearly as messy as it might sound. The entire project should take about 2 minutes.

You didn't say why you are changing the pilot bearing, but if you are going that deep, I am suggesting that you replace the clutch and the throwout bearing while you are there. If the pilot is worn substantially, check the input shaft bearing too. They normally don't go bad unless the pilot is bad. The pilot holds up one end of the shaft, the input bearing the other end.

The only other suggestion is that you look around the rear main seal of the engine. If it shows any sign of leakage, now is the time to replace it. If you do it later, you have to take it all apart to this very same point.

Good luck.

Leonard