Complete the one of the following tasks to get the corresponding tool.

Hoe: Given to you by Mist when you first move in.
Watering can: Given to you by Mist when you first move in.
Axe: Till 40 squares of land (you do not have to plant anything) and talk to Stella the nun (you may have to wait until Spring 4th).
Fishing Rod: Talk to Cinnamon by the church district exit on your farm in the early afternoon.
Harvester: Received from Candy. Ask her "What are Runeys?"
Hammer: Go to the second floor in the cave on Whale Island to find Melody. There will be a cinematic and she will give you a hammer.
Pet Glove/Brush: Speak to Kross after exploring the cave on Whale Island a bit. He is found in south district.
Sickle: Till 40 squares of land and speak to Erik. He sells seeds in south district.