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The description of your symptoms appear to be due to tenosynovitis (inflammation of the soft tissues including the tendons, synovial membranes, etc of the hand).
You may benefit by a consultation with your doctor. Prescription of antiinflammatory medications (advil, motrin), wrist splints to restrict the movements of the paining wrist or fingers and adequate rest will be necessary. Application of icepacks should also be very helpful to control the symptoms.