Remove snow from the sidewalk using a shovel. This will allow easier access to any ice below. Regular, prompt snow removal will also limit the amount of melt that can refreeze on the sidewalk.
Chip at the ice gently with the ice chipper if the ice is thicker than about 1/2 inch and you can crack it with minimal force. Avoid striking the sidewalk too hard, as this can damage the sidewalk surface.
Shovel any chipped ice off the sidewalk.
Sprinkle a deicing compound evenly on the ice. There are many common and alternative deicers to choose from. These range from the traditional sodium chloride, which is inexpensive and highly effective but corrosive, to urea fertilizer to the relatively expensive, highly effective and less environmentally harmful calcium magnesium acetate.
Shovel the ice once it begins to melt or break up. Wedge the tip of the shovel blade under the ice and shove.