First, how often do you shave? If you shave everyday, you may need to cut back to like every other day. However, if you shave like every 5-6 days, that may be too long of a gap, giving the hairs time to curl back into the skin and cause irritation when you cut over it again.
Second, what do you use on your scalp after you shave? Alcohol will dry the scalp up. I usually rub my head with an ice cube after I shave (or you can just run ice cold water over your scalp for a few minutes). This opens the pores and keep them from clogging causing razor bumps. What kind of aftershave do you use?
Third, A bald head can be a dirt zone if it comes in contact with dirty things. How often do you wash your bed wear (pillowcases)? Do you wear a lot of hats, and if so do you keep them clean and free of built-up dirt?
Lastly, have you tried Bump Patrol in the blue bottle? It usually clears up bumps within 3-5 days. Also, do you oil your clippers between uses? Dirty clippers can cause breakouts too if not maintained.
This is just a starter list, but if you can tell me a little more about your situation, we can offer even further suggestions. A picture would also help. Again, welcome and best of luck to you.