Synonyms of keep one's eyes peeled in English:

keep one's eyes peeled


1‘keep your eyes peeled for bandits’

keep a lookout, keep a sharp lookout, be on the lookout, look out, keep one's eyes open, keep an eye open, keep an eye out, observe, watch, watch closely, keep watch, be watchful, be on the watch, be alert, be on the alert, be on the qui vive, be on guard
beware, mind out, be vigilant, be wary, be careful, pay attention, take heed
British keep one's eyes skinned
informal keep one's peepers peeled