Meta website search tool

"Please note - at present I am looking for a price for this piece of work - I will aim to use the person who provides the best proposal but the work will not be assigned in the short term" I have a list of around 500 consumer websites each with its own search engine. The search query structure is the same across all the sites. From this list, I would like a tool where I am able to input a standard set of search terms - with this search then being carried out via the native search tool on each of these sites - to understand how many search results are displayed on each site for the same search criteria. 1) Is this possible? 2) How much would it be to build? 3) Is there a cheaper product that already exists in the market that you could help set up for me - and what would the cost of this service + product be?