First you get some fur, then you make it into a hat. The details depend on exactly what sort of hat you're trying to make.
the Akubra hat is a brown hat that is made from rabbit fur
Your Hat Fur Felt (Hat worn with Blues)
A fur felt fedora is made of . . . fur felt, of course. The felt is made from the fur of an animal, such as rabbit or beaver. A "wool felt" hat is an inexpensive alternative to a "fur felt" hat. The fur felt is more durable and retains its shape much better than wool felt hats. This is reflected in the price. Beaver fur felt is the some of the highest quality. Often X's are stamped in the hat to indicate quality. A "XXXXX" hat has a higher quality felt than, say, a "XXX" hat.
fur coat;fur hat.
Real fur hats can be purchased at a variety of online stores. Though they are falling out of favor due to their controversial nature, they can still be found at the sites for Glacier Wear and Fur Hat World.
a slipper or hat
The ushanka hat is a nice accessory. It is a Russian fur hat.
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You brush its hare?
Yes. Beavers are considered small game. They are killed as humanely as possible. Once they're dead, they are skinned, then their hide is put into a special shredding machine that separates the skin from the fur quickly and precisely. The fur is then mixed, treated and interwoven to create a fur-felt which can be shaped into a hat. So you're never wearing a dead beaver on your head, just a dead beaver's fur.
Furs. The fur trade was very good and made Hudson Bay Company, the French, and others lots of money. The fur was used to make fur felt hats ( you can still buy a hat with fur felt) and Europeans wanted the hats as well as the fur.
cotton , fur, silk