I have found that if you loosen the safety wire and then use your thumb and forefinger to lightly push up on the cork, it will gradually and slowly (and safely) come out, with little or no noise (and no spillage). The key is to hold the bottle still while you do this.
Everyone wants to hold the cork still and turn the bottle. This CAN work but it often results in a loud pop, spillage, or in a worst case scenario, an airborne cork. Holding the bottle still takes a couple tries but it really results in a much more elegant and safe opening, IMHO.
Originally Posted by JeffC
By "easing the cork out," do you mean twist back and forth? If so, there would be less shaking with one smooth twist of the bottle.