STORY OF SEASONS: Pioneers of Olive Town

1) Repair the dilapidated coop in the first area of your farmland. This will require 20 logs, 20 stones, and 20 pieces of grass.
2) With the coop repaired, befriend a wild chicken and you'll be able to send it into the coop.
3) Once a day, you can collect an egg inside the coop from happy, not starving chickens. At first, the maximum level for eggs early on would be 3*.

You can increase the amount of chickens in your coop by buying more from the animal store in Olive Town. You can only befriend two chickens (Chicken and Selkie) across the farmland, meaning the earliest you could do this would be around 25 days with both or extended based on the amount you pick up. Again, with any other trophies that require cumulative progress, you can check them in the Title Menu trophy page or Records page for the Animal Handling skill page.