There is no shuttle between Buffalo and Niagara Falls other than public transit. You can take a bus (24P) from the bus terminal to Buffalo Airport. From there, take MetroLink bus #210 to downtown Niagara Falls, NY.
Are you absolutely sure that you are flying out of Niagara Falls International Airport (in Niagara Falls) and not Buffalo-Niagara International Airport in Buffalo. I'm pretty sure it would be Buffalo Airport, in which case you would take the #210 in reverse.
We are going from New York to Niagara Falls next year are are going via Amtrack train direct to the Falls.
That maybe an option for you and not expensive either.
Check the amtrack website - very easy.
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