As eddy said, less agressive shaving in the areas affected will help, good stretching is important to a good shave.
Have you mapped your beard growth pattern? If not it is worthwhile. Once you are sure of the direction of growth try just shaving with the grain rather than across (you may already be doing this)
In theory shaving with a shavette or straight should be exfoliating your face anyway but as the others have said it is going to help to use a face scrub.