Search bar

Hi 🙂 Im trying to find a plugin that can be a search bar in the MAIN NAV MENU in the header.
I need it to do a couple of things though and I cant find one that meets all these points so hoping someone knows.
– It needs to be in the main header menu
– It needs to search through woocommerce products
– Show pages aswell as products
– have a dropdown list with the results so you can click and it takes you to the page.

Any help would be greatly appreciated.