The best way of doing this depends on what your visitor expects. Give your visitor a pair of radio buttons so they can select whether they want to search for an exact phrase or for any movie titles containing any of the words. Then do one of the following:
(assuming the field in your form is called $searchwords)
Exact Phrase:
$sqlquery = "SELECT * FROM MOVIES WHERE TITLE LIKE '%$searchwords%'"
Any Words:
$searchwords = trim($searchwords)
$searchwords = str_replace(" ", "%' OR TITLE LIKE '%", searchphrase)
$sqlquery = "SELECT * FROM MOVIES WHERE (TITLE LIKE '%$searchwords%'"
This code is just off the top of my head and hasn't been checked, you will probably need to clean it up and do some extra tidying up of $searchwords - figuring out how to handle quotation marks etc. But this should be a good start.
Jack