What is the best stylus for the iphones - Apple iPhone 5S

You probably won't like my answer, but the best stylus is your finger.
Apple made the capacitive touch screen so people shouldn't have to use a stylus pen. Older devices with a resistive screen need a stylus pen.
If you're used to use a resistive screen like on older GPS-devices, you need to adjust yourself to a capacitive screen of your iPhone.
-Don't try to touch items with the tip of your finger or nail.
-Even if you touch a letter on the phones keyboard with your thumb (which is maybe four times the size of the button), doen't the to touch it with the tip of your thumb. Place your thumb over the button, BUT MAKE SURE THE BUTTON IS IN THE MIDDLE OF THE AREA YOU TOUH WITH YOUR THUMB!

Just give it a try. Once you're used to it, you'll never want a stylus anymore. Everyone i know who ever buyed a stylus never used it.