In this chapter, we study (rational) maps from Enriques surfaces that arise from big and nef divisor classes of small self-intersection and with small Φ. This leads to explicit models and explicit covers of Enriques surfaces.We find birational models of Enriques surfaces as surfaces of small degree in low-dimensional projective spaces. We also find presentations of Enriques surfaces as covers of small degree of explicit rational surfaces. On our way, we also study (rational) maps from K3-covers of Enriques surfaces.