If the wine bottle comes with a cork and not a screwcap, remove any aluminum/tin or poured wax covering by making a cut around the second lip of the bottle to expose the top of the cork. The reason to cut at the bottom lip is that frequently cutting the foil capsule at the 1st (top) lip will leave ragged edges that make you more dispose to having wine drips when pouring.
However, if you have what is called a “foil cutter”, you may use that on the first lip of the bottle because it leaves a much cleaner cut than does the knife of the pulltap.
The waiter’s pull tap corkscrew has a small knife folded in the opposite end from the screw coil. Unfold the blade and run it around the 2nd (bottom) lip of the bottle. If the knife is dull or doesn’t seem to work well for you, use the sharply pointed tip of the screw to make that cut.
Finally, sometimes you can just hold the bottle steady with one hand and twist the entire foil cap with the other hand and remove the entire cap. This works on some bottles but not on others.
Remove the cut cork covering and place the screw of the corkscrew in the middle of the cork. Start turning it with one hand while holding the bottle with the other hand to get it started into the cork.