I've always considered mobility to be the key to survival, blockade yourself in and you find yourself surrounded by hungry zombies when the raido call for survivors to meet up comes through.
Defense: Riot gear (bite proof), Riot helmet with visor (cos' someone's weapon will catch you one round the head in a fight), Riot sheild (to push back and pin zombies, several of you can form a shield wall).
Offense: Pick axe handles (heavy, solid, low maintenance, no danger of cutting yourself, a zombie with borken bones is an immobile one), Crossbows (quiet, reusable/improvisable ammo), Grenades (nuff said), Spears (for use in less confined spaces, keeps zombies out of bite range).
Equipment: Rope, duct tape, batteries, radio control cars (to distract zombies), two way radios, fishing gear, sleeping bag, battery/clockwork alarms (for delayed zombie distractions you can plant), machette, rope ladder, First aid supplies, pharmaceuticals, bottled water (you can't trust the water supply), maps, vegetable seeds, matches, flint and steel, water purification tablets, chocolate, can opener, mirror (for seeing round corners), emergency flares, screwdrivers, hammer and nails, binoculars.
Objectives:
1) Get as far away from any Nuclear power plants as you possibly can, you can't trust zombies around them.
2) Take the high ground, once there, keep moving.
3) Ascertain whether zombie curse affects animals, they may be a vital food source.
4) Loot as many medical supplies as you can, initially they will be the most valuable thing in the new world order.
5) Gather people to your banner to form a nomadic culture of Zombie Slayers under your leadership.
6) Track down Chris DeBurgh and put a stop to this zombie infestation, once and for all.