It's time to point out a little-known feature in Chrome's omnibox that may save you a tap or two. If you're looking for something on the page you're currently viewing, rather than tapping on your overflow or menu button, going to "find in page" and typing your search string, you can do it via Chrome's omnibox as shown below. Take a look at the first option with the magnifying glass inside the box.
This wouldn't be the first time Google has inconspicuously thrown a useful feature into one of its products, and certainly won't be the last. A search of Chromium commits didn't turn up anything useful, so it's unclear how long this feature has been right under our noses.