It depends on whether I eat ice cubes from a regular block I filled with water and placed in the freezer, or if I eat ice in a glass.
In the first case, I just pluck it out of the plastic and eat it with my hands, but tis only happens at home.
Else, I just grab the ice like I would be drinking the water. If it's crunched ice, it's easy. If it's an ice cube, I tend to nibble on it until I've reduced it's size by about 3/4, then I put the rest in my mouth and munch it.
I miss my mom's fridge, it's a fridge with an ice dispenser that can deliver crunched ice, thin or crunched ice is my favorite...