Styling woocommerce product search

Is there any way to make the woocommerce product search smaller and a bit less obtrusive? I find it too big and it displaces the title in the header a lot. Searching the forums I managed to at least make it appear as one line but it still doesn't look good. Ideally I would like a little icon that expands when clicked on it. If that is not possible I would like the search box a little smaller and the extra field with the text "search" gone. If that is not possible I would like for it to at least not displace the title as it looks very odd. Are there any settings I can change somewhere?