After you beat the Pokemon league, go to the Pokemon mansion and keep talking to the man. After a week azurill will appear. :D
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In the waterin order to get azurill you can either breed azumarills with different genders or ditto. in the wild, he/she is both in the great marsh, and in the trophy garden! :D
You can get azurill in pokemon diamond and pearl by either breeding azumarill (or marill) or capturing it in the safari zone. :]
Breed two azumarill's one holding a sea incense item once you obtain the egg and hatch you should get azurill if you don't you need to have ruby, sapphire or emerald do the exact same method as above to get azurill.
how to get a togepi in Pokemon platinum
There is no grunt that you can give a Pokemon to in Pokemon platinum.