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.
If you can't hit proper depth, stop going up in weight. A squat is not a slight knee-bend or a curtsy. This clever trick will help you stop being lame.