Plastic boots

Pros- virtually idiot proof, don't have to worry about getting wet feet and just have to dry out the booties, usually can do terrific edging

Cons- kind of clunky, heavy and ungainly, which MIGHT be solved by using the next smallest size

Leather

Pros- lighter and more maneuverable (depending on model), might even find a double leather combo, because they are lighter and less stiff plus shanks are usually on the light side, all that will vary edging performance

Cons- they get wet, your feet will go through hell. Usually they are cut lower around the ankle.