Ok, here i come with my thoughts.
To answer your question, 1stly we must determine your level as well
as gear.
If you are pre-60, then without question go arms. Fury implies dual
wield and the miss rate for DW is 24%. This would mean you require
alot of + hit equipment and this is pretty much non existant
pre-60.
Arms best benefits the use of a 2-hander and is subjected to the
regular 5% miss rate which isnt too prohibitive.
Now if you are already post-60 the question now becomes, are you
PvP/Arena focused or more towards PvE/raiding? If you are PvP, then
go Arms. If PvE, then Fury.
However, with TBC, warriors are nerfed from the perspective of
tanking/true dps. Fury warriors are no longer accepted as DPS
classes in raids, especially in Kara. They can be considered
post-Kara like SSC onwards, but that would mean your guild has to
carry an unoptimised raider like you.
On the tanking front, you have to have Shield Slam to be a credible
tank. This was significantly changed in TBC. Pre-TBC, arms or fury
warriors could get away with just 13 points in Prot to get
Defiance. But now with poor revenge/sunder scaling, warriors cant
tank without shield slam.
Seriously, if you are leveling a warrior up, I suggest going a pure
DPS class. Less worrisome in every aspect. The only true role a
warrior has in TBC is to be a tank. Feral druids out perform in
every way as an OT. If you don't intend to tank, don't go warrior.
Unless you are satisfied with solely being in the arena and not
much else.
Also do take note that weekly respecs are quite common. I know many
warriors who are full prot during their raiding schedule and then
switch to full Arms when the weekend hits. Respec cost at 50g,
compared to daily quests netting 80-90g for a couple of hours is
nothing these days.