What does it mean when you have hives on both arms and left wrist is swollen and hurts to bend the elbow and move the shoulder?

Hives: Not sure if all your symptoms are related but they warrant an exam by a doctor.

See below: Differential includes infection, systemic rheumatoid arthritis. May need labs done.

Angioedema: You are hiving hives and perhaps angioedema , the latter occurs when the same process which causes hives takes place in the subcutaneous tissue. However if Benadryl (diphenhydramine) up to 4 to 6 x a day does not reduce the problem, then you need to see a doctor.