When we say "peeps out", we usually mean that something appears or becomes visible slowly and gradually, typically from behind an obstacle or from a hidden place. Synonyms for this phrase can include words like "emerges", "shows", "pops up", "surfaces", "reveals", "manifests", "becomes visible", "comes into view", "appears gradually", "makes an appearance", "turns up". Each of these synonyms conveys the gradual and almost hesitant movement towards visibility, as if the thing appearing is testing the waters before fully emerging into view. So next time you see something "peeps out", you can use these synonyms to describe it in a different way!