A smooth work surface is required when working with polymer clay. Glass or ceramic tile are perfect, but be careful with a wood surface, as the clay could stick to the surface or discolor the grain.
A craft knife is necessary for cutting clay from the block, and tissue slicing blades or razor blades are a big help in slicing millefiori canes.
Sculpting tools can include anything from tapestry needles, cocktail sticks, even dental tools! A smooth rolling pin or a dedicated pasta machine is useful for rolling out smooth sheets of clay.
Needle tools, such as darning needles and sewing needles can easily be used as sculpting tools and fine detail. Use some old scrap clay to make simple handles for your needle tools.