To do this, he will ask you to go and find competent people throughout Hyrule with, between each step, a small contribution in bundles of wood.
Step 1: Greyson the Goron
You will find Greyson on the road to Goron village, in the South Mine. Just a point of clarification: you will only be able to talk to him at nightfall (near the campfire). After recruiting him, he will open a gemstone shop and Hudson will ask you to bring him 30 bundles of wood to go to the next step.
Step 2: Rhondson the Gerudo
You will find Rhondson at Kara Kara Bazaar before the city. The young woman is right next to the local inn. By recruiting her, Tarrey Town will enjoy a new clothing store. To move on to the next step, Hudson will ask you again for 30 bundles of wood.
Step 3: Fyson the Bird
Fyson relaxes quietly on one of the take-off areas of the Rito Village. He will be convinced immediately and will go straight to Tarrey Village to open a grocery store. To complete this step, Hudson will ask you for 50 bundles of wood.
Step 4: Kapson the Zora
This time, Hudson will make you a very special request, and to satisfy it, he will send you to find a Zora priest. At the Zora's Domain, go talk to Kapson who is in the pool under the throne room.
Last step: Balson
Finally, Hudson will simply ask you to invite his two former colleagues to Tarrey Village.Head to Hateno, near your house, so that the two men can come and see their friend in the village of Akkala. And that's how this quest ends!
Written by Bastien "Lloyd" Dubosq-Luyer. Translated from French by Millenium.us.org.