You will be able to access these sidequests once you’ve completed the “A Behemoth Undertaking” hunt. Talk to Wiz to start the first sidequest.
Where the Wild Chocobos Are
Unlock Conditions: Complete “A Behemoth Undertaking”
Reward: 500 EXP, Xelphatol Apple Seeds x1, Doman Plum Pits x1, Mamook Pear Seeds x1
Wiz will ask you to take a picture of a chocobo near Deadeye’s lair. Return to the lair and look for the bird. Press X/A while near the chocobo for Prompto to take a photo.
Bird on the Brink
Unlock Conditions: Complete “Where the Wild Chocobos Are”
Reward: 1,000 EXP
Talk to Wiz, then head to the designated area. An ailing chocobo will be there to the south of the Cauthess area, heal the bird with a potion then report to Wiz.
A Feathery Feast
Unlock Conditions: Complete “Bird on the Brink”
Reward: 1,500 EXP, Fat Chocobo Triple-Decker (new dish)
Talk to Wiz, then proceed to the designated location. Find the Aegir Root around the area, and once you find it, head back to the Chocobo Post.
Chase That Chocobo!
Unlock Conditions: Complete “A Feathery Feast”
Reward: 2,000 EXP, Valfruit Seeds x1, O’Ghomoro Berry Seeds x1, Cieldalaes Pineapple Seeds x1, Han Lemon Seeds x1
Wiz will send you to the Three Valleys region to rescue a chocobo. The bird is behind the wreckage in front of the largest barn. Heal the chocobo with a potion then head back to the post.
Savior of the Species
Unlock Conditions: Complete “Chase That Chocobo” and reach Chapter 7
Reward: 2,500 EXP
Talk to Wiz, then head to the waypoint. Once you’re at the designated location, a large horde of Sahagins will spawn. Defeat these monsters then approach the egg by the lake. You would have to wait for the egg to hatch, so do other sidequests first before returning to the area.