There really are only two ways to work on your kicking in the water with tools, or without tools. What do I mean By tools, Mainly Kickboards and flippers, there are other tools, but these are the most common ones.
Sections
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10
Flippers
8
Kickboards
Flippers
10
Flippers aren't the best in terms of building up strength, but they excel in fixing technique. The flippers will force you to correct your foot positioning, and how you move your legs. Great for butterfly, backstroke, and freestyle kicks.
Best looking flippers I have seen. With great looks also comes great quality, you can expect these to last a long time.
TUSA SF-22 Solla Open Heel Scuba Diving Fins
Kickboards
8
Kickboards are the most common way of practicing your kicks. They are good for giving you something to hold on to, and letting you keep your head up to breathe. Kickboards will definitely give you a leg workout, so be prepared to feel the burn.