What is the tool to remove rear brake drums on a 92 Century custom 4 door so you can replace shoes?

You'll need a brake drum puller to remove the rear brake drums on a 1992 Buick Century. These are relatively inexpensive tools and readily available at most auto parts stores. They typically consist of a center screw that pushes against the drum, expanding arms that grip the drum's edge, and a strong handle to apply the force.

Important Note: Before attempting to remove the drums, make sure you've loosened the lug nuts on the wheel, removed the wheel, and then carefully cleaned any rust and debris from the drum's surface and around the backing plate. Sometimes, they can be stubborn due to rust. A gentle tap with a mallet *around the edge* of the drum can sometimes help loosen them, but be careful not to damage the drum. If it's extremely stuck, you might need to use penetrating oil and let it sit for a while to help loosen the rust.