The neutral grip (palms facing one another) is the best grip to use if overhead pressing exercises are bothering your shoulders.
With the elbows pointed slightly forward instead of straight out to the sides, press the dumbbells using a neutral grip. Bring the dumbbells close together at the top without touching them.
This Tool Box series has become one of my most popular article sets to date, so why break with what's working? Here's the latest installment of this series designed to help experienced lifters fill in the blanks and learn the finer points of strength development.