I'll take care of Nidoking, since he's not going to let you any nearer to me. You can start with Sylveon or Glaceon. They should be no different that dogs.

[She used videos of dogs getting baths as reference to how to take care of her eeveelutions.]

Oh, and... If Sylveon manages to give you a bath instead, Primarina can refill the pool.

[And said Fairy dog-thing was getting excited from hearing its name. It will probably be the most wiggly of the pokemone getting bathed.]