I'd take a horse anyway.
A horse has got a few disadvantages yeah:
- Slow compared to a car
- Little protection from zombies
...but don't forget a horse has got some major advantages too:
- Much more agile than any motorized vehicle
- Suitable for all terrains, you can easily ride throuh the woods with no need to stick to roads/paths
- Doesn't need fuel
- Easy to use melee weapons while moving
- Not easily stoppable, you can sneak through small openings, or jump over road blocks etc.
- Still much faster than a zombie can ever hope to run
What I'd take:
Transportation: Horse
Item of value: Mjöllnir amulet (for all you non-heathens, that's Thor's warhammer)
Luxury item: Beer
Melee weapon: Battleaxe
Long range weapon: Huh? Who needs long range weapons anyway?

I'm just gonna take a shortsword as 2nd weapon
What I'd do: Exploit my horse's advantages by moving through forests and open fields as much as possible. Then try to find some place still under human control.
EDIT: okay, now why the hell did the word "r o a d b l o c k s" get auto-censored?