I just "search".
I can't think how anyone is going to be confused and think I want them to check the bins or something, but maybe we search for different things on the web.
I just web-search. Let me web-search that for you. According to a web search, it's fine.
My kids and their friends say “search it up”. I have no idea if that’s representative of the tween/teen population. But google as a verb will likely die on its own. It’s been a while since I’ve xeroxed anything.