Etheostoma,
The displacement method is the way to go with this, and I too have been using it for years. Basically, coming up from below (as described by others here) look up and watch the surface. When you are about two feet below the surface, begin your exhalation. It does not have to be forceful, just enough air in the snorkel tube to displace the water. If you continue your exhalation as you surface, and then look down again as you break the surface, the snorkel will be completely dry and you will be ready for your next breath.
Now, there is a bit to talk about in snorkel design. We now have snorkels with protected openings, which actually increase the work of breathing through the tube by restricting the air flow. Some snorkels also have a little "catch basin" at the bottom which will potentially make it a bit harder to clear with the displacement method (but not if you exhale completely while surfacing). The displacement method was developed before there were any fancy snorkels with features which keep water out. So if you want to try it, pick up an older style snorkel which is a simple tube that allows the water and air flows to be close to laminar through the tube. These are actually very efficient snorkels, and work well in calm seas.
The real reason for wearing a more advanced design of snorkel is to snorkel in choppy water. Examples would be rivers with currents and rapids, surf, wind chop, etc. In these areas, the old designs can still be used, but will sometimes require constant clearing because of water coming down the tube. The best snorkels I have found are:
--The Aqualung snorkel with the bell on top (it used to be called the US Divers Impulse snorkel, which acts by capillary action to have the water go down the sides of the bell, and exit a non-return valve in the top of the snorkel).
--The Scubapro snorkels based on their tried "Shotgun" design. I still have my original Shotgun snorkels, and find them very effective for removing water coming down the tube.
Some other snorkels have good action for removing the water, but the design inhibits air flow by creating much more resistance in the tube, which I do not like.
SeaRat