Babies on formula. Mix formula only with bottled water, or tap water you've boiled and cooled — never straight from the tap during an advisory. If you can, switch to ready-to-feed formula, which needs no water at all. Sterilize bottles with boiled water too, and when in doubt, ask your pediatrician's office; they field this question constantly.
Dialysis patients. This one matters: people on home dialysis cannot use boiled water — boiling kills germs but concentrates minerals and contaminants, which is dangerous for them. They need bottled or specially treated water, so call the dialysis center right away for instructions. Don't improvise this one.
Anyone immunocompromised. People on chemo, with HIV, or after a transplant can get seriously ill from bugs that barely bother a healthy person. They should stick strictly to bottled or boiled water for anything that touches the mouth, and be careful with shower water on broken skin. When the advisory is flood-related, lean toward bottled water to be safe.
Anyone with an open wound. Tap water under advisory can introduce bacteria into a cut or scrape, so clean wounds with bottled or boiled-and-cooled water only. Keep the dressing dry, and if a wound looks red, warm, or swollen, treat that as a reason to call a doctor. It is a small thing that is easy to overlook in the shuffle.