Make Your Coat Brand New
Some fabrics pill or shed little flubbers all over themselves. Ofcourse you can use a sticky roller but they are not as good as the next thing:
Use a (old) Razor
Using your old razor is a great way to save some money and actually do a better job then with a sticky roller.
slightly pull your rasor down when your other hand holds the fabric tight.
But Be Careful!
Be careful around the buttons and stitching because you can easily cut the fabric. But if you will be careful then you will end up with a new coat (or other piece of clothing)
Your welcome :D