Hello, just to introduce myself, I have experience with all web-development phases, such as mock-up, design, development and maintenance.
My approach for your solution will envolve the same design and diagramation for both pages, to create the raport with the user. Next to the search engine input, you can have a text/icon and a button with a text/icon. The text/icon will represent the current page and the button need to explain the benefits of the other page.
A mock-up have only the diagramation of the page and it texts/icon ideas