Carpal Tunnel Syndrome: This condition is characterized by numbness, tingling, and weakness in the hand and fingers, particularly in the thumb, index, and middle fingers. The symptoms often improve with movement, which aligns with the patient's description. However, the fact that it doesn't occur often might suggest an early or mild case.

Ulnar Nerve Entrapment: This condition affects the ulnar nerve, which runs from the neck down to the hand, and its symptoms include tingling and numbness in the fingers, especially the little and ring fingers. Movement can sometimes alleviate the pressure on the nerve, temporarily relieving symptoms.
Raynaud's Phenomenon: A condition that affects blood flow to the fingers and toes, and sometimes the ears, nose, and lips. It is characterized by a sudden and temporary narrowing of the arteries, which can cause tingling, among other symptoms. Movement and warmth can help relieve the symptoms.
Vitamin B12 Deficiency: This deficiency can cause neurological symptoms, including tingling in the hands and feet. While movement might not directly alleviate the symptoms, the fact that the tingling is not constant could suggest a nutritional deficiency.

Multiple Sclerosis (MS): An autoimmune disease that affects the central nervous system, leading to a wide range of neurological symptoms, including numbness, tingling, and weakness in various parts of the body. Although less common, MS could present with intermittent symptoms that seem to improve with movement or activity.
Peripheral Artery Disease (PAD): A condition where narrowed arteries reduce blood flow to the limbs, which can cause tingling, pain, and weakness, especially during activity. However, the improvement with movement in the question might not typically align with PAD, as symptoms usually worsen with activity.
Hypothyroidism: In some cases, hypothyroidism can cause neurological symptoms, including tingling sensations in the fingers. While movement might not directly impact these symptoms, recognizing and treating hypothyroidism is crucial for overall health.

Syringomyelia: A disorder in which a fluid-filled cavity forms within the spinal cord, leading to symptoms such as numbness, tingling, and weakness. This condition is rare and typically presents with more severe and progressive neurological deficits.
Acroparesthesia Syndrome: A rare condition characterized by burning, tingling, or numbness in the hands and feet, often associated with other systemic diseases or as a side effect of certain medications. It's less likely but should be considered in the differential diagnosis if common causes are ruled out.