Restorative yoga is something completely different. It's about slowing down and opening the body through passive stretching. If you attend a restorative class, you may hardly move at all, doing just a few postures in the course of an hour.
In restorative yoga, props are used extensively to support your body so that you can hold poses for longer. Postures are usually adapted from supine or seated yoga poses with the addition of blocks, bolsters, and blankets to eliminate unnecessary straining.
Once you learn the basic set-ups for a few postures, it's easy to do restorative yoga at home. You will need to assemble a few props, but many poses can be done with just a few blankets, which you probably already have.