I'd agree with Bitcohen, my general option is screen protectors usually make a screen look bad. I've used my DS Lite for 10+ years without one.
I've also used my current phone for 4+ years without one. This does have some very minor scratches you have to be looking for when the screen is off to see. When the screen is on it looks fine.
I guess you could try a screen protector and see how you feel.