My cat sheds a lot, so I try to brush him often to minimize the amount of cat fluff he leaves all over everything in my house. Unfortunately, brushing him is incredibly tricky; he doesn't want to hold still, he tries to eat and attack the brush, etc. I have tried holding him different ways, but he just squirms out of my grasp and goes after the brush again.

What are some things I can do to make it easier to brush my cat?