how to add to /search like "Advanced Search"

I want to use both the site search and Google CSE. Instead of tabs across the top, when you go to mysite.com/search I want to show the standard search, then the expandable link for the Advanced Search (as it is by default), then a second expandable link for Google Search. Can someone give me some suggestions for how to do this?

If it's a simple block then it shows above the search results content or below the search results content, not listed between the "Advanced Search" and the results where it's most logically placed.