How to get every Pal in Terraria's Palword crossover

After a 2025 crossover in Palworld, pals have finally come to Terraria with the 1.4.5 update, Bigger and Boulder. Some of them are an absolute pain to get—looking at you, Foxparks—and I never found the critters in my older worlds. While I did manage to get all of the Terraria pals eventually, it only worked after I generated new worlds.

⚒️ Updates in-progress

While I've found all the pals, I'm still testing which strategies you can use to find them most reliably. If you find one under different conditions that I can reproduce...