In my opinion I think that poliwrath is alot better because of the moves it learns eg:dynamicpunch
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They are about the same, but I prefer SlowKing. Think that they each can learn a different move.
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Poliwrath is good when you use it for battles against wild pokemon, trainers and gym leaders. Politoed in the other hand is better when it comes to the contests. Poliwhirl evolves to Poliwrath when you expose it to a water stone while it can also evolve into a Politoed when you trade it holding a King's rock. Overall I would recommend a Poliwrath because it is dual type and is stronger. It will get STAB on fighting type moves.
In order to get a Slowking, you have to attach a King's Rock to Slowbro and trade it to another player so that it evolves into Slowking, that is the only way to get Slowking, you cannot breed for it.
Slowbro does not evolve to Slowking in order to get a Slowking you must trade a Slowpoke to a friend while it holds the item King's Rock and after the trade is completed the Slowpoke will become a Slowking. Have your friend send the Slowking back to you in order to recieve the data on it for your pokedex.