Catch an Eevee
Set Eevee as your Buddy and walk 10 km
Earn 2 Eevee candies while Eevee is your Buddy
Evolve Eevee during the day to get Espeon
Evolve Eevee during the night to get Umbreon
Rename Eevee once to use a specific evolution trick
Rename Eevee to Sparky for Jolteon
Rename Eevee to Rainer for Vaporeon
Rename Eevee to Pyro for Flareon
Rename Eevee to Sakura for Espeon
Rename Eevee to Tamao for Umbreon
Rename Eevee to Linnea for Leafeon
Rename Eevee to Rea for Glaceon
Rename Eevee to Kira for Sylveon
Use a Mossy Lure Module near a PokéStop to evolve into Leafeon
Use a Glacial Lure Module near a PokéStop to evolve into Glaceon
Earn 70 Buddy hearts with Eevee to evolve into Sylveon
Use 25 Eevee candies to evolve Eevee into a random standard evolution if no special method is used