I will comment on weaponry beacause well... that's the fun part.
One of the finest tools available for slaying zombies...
The AR-15 in .45 caliber, 10.5 inch barrel configuration.
Trade in the standard .223 cal, 16 inch AR for this. The .45cal pistol round is much more suitable for zombie slaying.. an excellent cartridge for high powered, close to medium range, accurrate devastation. This will also convert your AR into a much more reliable blowback bolt function which will outlast the standard direct impingement action any day.
I would reccomend that you affix a quality torch (flashlight) but, don't bother with fancy red dot sights.. This needs to be rugged and reliable. This is one of your primary tools.
Let's face it, no matter how much you hoard, ammunition and moving parts can become problematic. You may need a medium range weapon which requires little maintainance.
The traditional Japanese Naginata.
Essentially a short sword affixed to a staff, this is a formidable weapon capable of keeping enemies at bay. I would reccomend that you source a Naginata that allows removal of the blade. Such versions allow the Naginata to break down into 2 wapons.. A staff and a short sword. This will come in very handy in confined spaces, as well as offering the ability to equip your slack ass friend in a pinch without losing a weapon yourself.
These 2 weapons will be all that you need.. You have plenty of other important items to pack.