When it comes to describing the act of first seeing or encountering someone or something, the phrase "lay eyes on" is commonly used. However, there are a variety of alternative expressions that can be used to convey the same meaning. Synonyms for this term include "catch sight of," "spot," "glimpse," "behold," "spotting," "espy," and "detecting." Each of these phrases can help to add variety and interest to your writing, depending on the tone and context you are striving to create. By experimenting with different synonyms, you can bring your descriptive language to life and better engage and connect with your audience.