Search bar in Custom Menu

Hello!

So on my website, Skillfolio.com, I created a custom menu and added buttons for some of the links. What I would like to do is, next to the little magnifying glass, insert a little white search bar. (See the attached screen shot of what I would like the search bar to look like).... Check out Skillfolio.com to see where there should be a search bar. Do you know of a way to insert a search bar into my menu bar? It was created as a Custom HTML Module in Joomla.

Thanks!