There are 3 ways:
1: Go to Heart-home City, and go to the house on the right side of the Poke-Center. Inside will be a lady. Talk to her, and she will give you an Eevee.
2: Go to the Mansion bellow of Heart-home City. Inside, will be a ton of doors. Go right and go through the 1st arch way. There will be a man, and another man (the other man is sometimes). Talk to the man that has blue cloths on. He will say what Pokemon is in his garden. If he says Eevee, you can go and catch a ton of Eevee's.
3: With one of the Eevee's you got before, evlove it into one of the types (I say firs, water, ice, and grass). Then find a different gender Pokemon that is the same type as it (Like your eevee is fire. Find a different gender fire Pokemon). Take them to the datecare, and they will eventuly form an egg. Hatch the egg. It will be an eevee.
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a lady in a house next to the Pokemon center will give you an eevee
The trainer Skier Lexi on Route 217 has Eevee's evolution in Pokemon Platinum. The trainers on Route 212 and 214 also have Eevee.
in kq
You use a water stone on your Eevee.
It does not evolve with a dusk stone in Pokemon Platinum