Go to a store that sells a variety of luggage locks. Twin zippers on Skyway luggage are designed to be held securely closed by inserting the curved bar of a luggage lock through the holes on the metal zipper pulls.
Examine the selection of combination and keyed luggage locks and pick the style that you find most convenient. Combination luggage locks require memorizing a combination while keyed locks require carrying the key.
Pick a regular luggage lock if you do not intend to use your Skyway luggage on airplanes.
Pick a TSA approved luggage lock if you plan to travel on airplanes with your Skyway luggage. TSA officers have a "master" key for all TSA approved luggage locks and can open them to inspect luggage and then re-lock your bag. Packaging on luggage locks indicates that a particular lock is TSA compatible, according to the TSA website.
Remove the old lock and place the new lock on your Skyway luggage by closing its twin zippers, then insert the curved bar of your new luggage lock through the holes in the metal zipper pulls and push the end of the metal bar into the hole in the top of the luggage lock until it clicks closed.