Remove the faucet and other fixtures from the tub and sink with an adjustable wrench. Tape plastic tarps on the floor and walls around the tub and sink, using masking tape.
Put on your respirator and other chemical safety equipment.
Apply hydrofluoric acid etching solution over all porcelain surfaces of the tub and sink with a paintbrush. Let the acid sit on the surface for 10 minutes, dulling the shine. Rinse well.
Fill your paint sprayer with primer for porcelain. Apply the primer onto the tub and sink in a thin, light coat, with the sprayer moving at all times to prevent drips.
Allow the primer to set for four hours. Apply a second coat in the same way. Let it dry for 12 hours.
Re-fill your paint sprayer with paint-polyurethane mix. Spray the compound on in the same manner, in a thin, light coat, keeping the sprayer moving. Let the compound dry four hours.
Spray on a second layer of the paint-polyurethane mix. Let it dry, then spray on a third layer. Repeat for the application of at least four coats (more if desired). Let the final coat dry for two days.
Re-install the fixtures for the tub and sink.