The effect of shapes on self-movement has been studied with an extended model of autopoiesis. Autopoiesis is known as a theory of self-boundary maintenance. In this study, not only the autopoietic generation of the self-boundary, but also the emergence of self-motility, has been examined. As a result of computer simulations, it has been found that different membrane shapes cause different types of self-movement. A kind of chemotaxis has been observed for some shapes. The mechanism of chemotaxis is discussed by studying the internal chemical processes within the shape boundaries.