My hands and feet have been going numb very easily lately. What could it be?

Anxiety most likely. Hand and feet numbness can be a presenting symptom of anxiety especially if you are feeling stressed. Consult your physician.
Possibly Neuropathy. While compression of a nerve in the arms or legs can cause isolated numbness, simultaneous involvement of the hands and feet may be a sign of peripheral neuropathy. There are many causes of neuropathy and consultation with a physician may be needed to further investigate these symptoms.