While it is important to consult a veterinarian to diagnose and treat cat conjunctivitis, some home care measures can help alleviate mild symptoms. These include gently wiping the affected eye with a clean and damp cloth to remove a discharge, using sterile saline solution to flush the eye, and providing a clean and stress-free environment for the cat. However, it is essential to seek veterinary advice as home remedies may not be sufficient for treating the underlying cause of conjunctivitis.