If you want to tack on existing query string data, use this:
$searchResult->appends(array(
'date-from' => Input::get('date-from'),
'date-to' => Input::get('date-to'),
));
Read the docs: Appending To Pagination Links.
You can shorten that a little:
$searchResult->appends( Input::only('data-from', 'date-to') );
which ends up being the same thing.