Ms. Aneita Small provides tips for caring for computers and peripherals in three main areas: safeguarding equipment, maintaining a clean work environment, and personal health and safety. Key recommendations include reading manuals before setting up equipment, using a surge protector and UPS, keeping the work area clutter-free, taking breaks to reduce eyestrain, and reporting any safety issues. The document emphasizes proper setup, cleanliness, posture, and safety to protect both equipment and users.