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.
When I first approached corrective and performance exercise specialist Paul Chek about writing for Testosterone, his first concern was whether I'd choose to soft-peddle his article. In other words, he was worried that I'd try to "dumb down" his material.