What is best iPhone5s screen protector for eyes?

Actually I pass at least 4 hours everyday with iPhone 5s, I feel my eyes burning sometime, so I was thinking if there's any screen protector to keep eyes cold or normal you know what I mean.

No.

No.
No "screen protector" for a phone will affect eyestrain.

You need to work out a better viewing position or see your optician about glasses.