eCommerce projects would probably need eCart and DataBridge. DataBridge would help a lot on the current search since you could just add a keyword search.
To do it manually you would use the explode() function to split the submitted keyword string into an array. Then loop through that array to dynamically build the SQL statement and add parameters. It couldn't be done through the interface directly. It would require hand coding.
If you attach your .php page with one word keyword search working, then I could help with the code to make it work with multiple.