Read further, for a general list of what you'll need to get started working with polymer clay...

Conditioning and Rolling

• Clay can be conditioned (made soft and pliable for easier use) by hand.
• You may also want to use a Clay Conditioning Machine to both condition and make sheets of clay
• An Acrylic Roller can also be used to create sheets of clay.

Cutting

A variety of blades can be used to cut polymer clay. 

Shaped cutters are used to make specialized shapes.  Cookie cutters may be used, but they should not be used again for food.

Special tools

Push Molds--clay can be pushed into molds and then released, to create three-dimensional shapes.

Texture Sheets--applied to rolled-out clay to create textures.

A Polymer Clay Oven may be desired, to bake clay items.