Following the weapons guide, let's take a look at the different crafting recipes for tools depending on the material used to make them. You'll notice that the layout is very simple and only changes in terms of the material from which it is made:
The axes are used to collect wood or other items made from the same material like planks or even whole bookshelves! You can collect these without tools but axes greatly reduce the time taken to collect them.
Pickaxes can be used to collect stones and other minerals, rare or common!
Naturally, shovels are used for digging and collecting earth, clay or snow. Just like with the axes, it is possible to collect these ressources by hand but tools will reduce the time it takes.
The hoe is used to transform grass or earth into farmland, allowing you to show your green fingers in farming!