I used this screen protector on all three Galaxy Note 2 phones in my family:
Amazon.com: Samsung Galaxy Note 2 Screen Protector -
http://ecx.images-amazon.com/images/I/71lnPxHuegL._SL1500_.jpg
It has about 700 5-star ratings on Amazon. There are three protectors in the package.
If you've never used a dry screen protector before, use the 1st one as practice.
Apply it in a steamy bathroom to avoid dust. You won't know it's there after you put it on.
Legal disclaimer: this is not a product endorsement. I'm merely disclosing which screen protector I'm using.
Even the ones sold at Verizon Wireless corporate stores work great.