I have random tiny itchy red bumps with clear tops that pop up all over my body.

Many causes: Depending on the type of your rash the cause varies from a viral infection to hives, you need to have a doctor look at it and determine what is the problem.

Hives: Sounds like classic hives. They tend to be red, raised, scattered all over and intensely itchy. I would eliminate whatever might be the causative agent. If that doesn't help, then try otc anti-itch topical creams and otc non-sedating antihistamines.