Your best chance of finding one is to fish one up at either Celadon or Route 10. You can also fish some up in the entrance of the Safari Zone, and there is a slim chane you'll find one by walking in the Seafoam Islands, Floor 1.
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You can catch Slowpoke in Pokemon Gold in the Slowpoke Well that is by Azalea Town and you can also find them in Tohjo Falls.
Slowpoke cannot be caught in Pokemon Diamond. This Pokemon can be found on route 205 in Pokemon Pearl using the pokemon radar and traded to Diamond.
Slowpoke will evolve at Level 37.
Slowpoke into Slowbro: Level 37 Slowpoke into Slowking: Trade with King's Rock attached.
slowpoke.