I'm no lawyer - let's just say that up front.

I'm glad you found your way to CCLI. Read as much as you can about what CCLI actually covers - it's quite a bit less than a carte blanche use of copyright protected music and printed materials.

In every church I've been involved in that pays CCLI, one of the things that is done is the CCLI license number is displayed along with copyright owner information for each song for which the lyrics are projected on screen. CCLI states what they actually cover here: http://www.ccli.com/WhatWeOffer/WhatYouCanDo.aspx

So again, not a lawyer here, but CCLI covers actually a pretty narrow use of copyright protected songs.