My Plan:
Shelter: I would hide in either , A) a barn, or B) a highrise apartmentment.
Barn: Barns would usually have haylofts, I would find one with a good sized hayloft, big enough for my group. We would only put the ladder down when we are leaving, and when we are in the hayloft, we would haul it up with us. Zombies arent capable of hand-over-hand co-ordination to climb ladders, but if a zombie knocked over our ladder we would become stuck, and either have to jump or find a way of climbing down.
Apartment: The highrise would be best, elevators would be shut off, so theres no way of a zombie wondering into one and being brought to our level. If elevators are function, keys would be found for it, or cables would be cut to prevent zombies gaining entrance. The doors would have locks/chains, but large objects could be used as barricades until other means are found. There may be leftover food, tinned or otherwise, and perhaps bottles of drink, which could be used in rations until new stocks are found. Chances of electricity/plumbing working are slim.
Food/water/misc supplies: Food and water could be obtained from home, shortly before escaping to hide from the attacking undead. Once sheltered or away from the worst of the attack, food and water could be obtained from old supermarkets, but caution should be taken in case of raiders or people in hiding within the store grounds. Medical supplies could be found in the hygiene aisles, or in broken down pharmacies/doctors offices. Hospitals would also be useful, for quick meals and medical supplies. Abandoned homes can also be searched for extra supplies, and bags/containers with which to carry them.
Hygiene: Most important things, toothpaste (to prevent tooth decay and toothaches.), soap (only used MINIMUMALLY.)and toilet paper (pads, tampons if found, but not an immediate thing.) Annti fungal cream, antibacteriawash/cream/lotion, or hand sanitiser would also be useful, in case of contact with infected people or waste (toxic, otherwise.)
Misc:
-All foood wiill be rationed, as well as water/fluids, and medial gear wil be supervised by the person with the most training/knowledge.