Handling Unmarked Hazardous Materials in Patient Care

A 35-year-old female patient is admitted to the hospital for treatment of a severe skin infection caused by methicillin-resistant Staphylococcus aureus (MRSA). Upon admission, the nurse observes that the patient has brought personal hygiene products, including a topical antiseptic and several creams, in unmarked containers. The nurse is responsible for ensuring the safety and efficacy of the patient care environment, particularly concerning infection control. Which action should the nurse prioritize regarding the handling of these hazardous materials?