Switch Pokemon and damage

[researcher]

I have tried to find a clear answer, and I have come up with both ways. Suppose I attack with Hippopotas' Push Down or another attack that does some amout of damage and says, "Your opponent switches the Defending Pokemon with 1 of his or her Benched Pokemon." Does the switch take place first because it requires a decision *[b) If necessary, make any choices the attack requires you to make. (For example, Nuzleaf’s Feint Attack reads, “Choose 1 of your opponent’s Pokémon.” So, you choose now.)]*, or second because it is an effect *[f) Do whatever the attack says. Do any damage first, then do any other effects, and finally, Knock Out any Pokémon that have damage greater than or equal to their Hit Points.]*. The steps taken from "In What Order Do You Attack?" in the rulebook.

To summerize: (If the switch takes place first, the new Active Pokemon would take the damage)/(If the switch is second, the original takes the damage)

Thanks for the help. This is really confusing me.

[PokePop]

Unless it says "switch before doing damage", the switch happens afterwards.
You make the decision first, but the action takes place later.