What would cause my hands to be stiff, swollen, and with solid white fingernails? Along with facial swelling

See a doctor. Please see your internist or family doctor. You may need to be referred to a rheumatologist for further evaluation. Please don't wait too long.
Need exam. It could be something as simple as a food or medication allergy, or something complicated, like dermatomyositis. Or anything in between. This is the kind of presentation that deserves a thorough examination by your doctor.