I ordered the Verizon 3 pack with my Note 3, just so I would have something to put on it when it came in. I usually just use the Verizon screen protectors on my phone. These show greasy fingerprints real easy. Of course, I can just wipe them off and do. I ordered a couple of belt clip cases from Ebay and those each came with screen protectors and I have not tried either of those yet.
I would like to maybe change to another screen protector at some point that doesn't show grease so easy...other than that, these do the job for now.