Weapons each have three qualities, analogous (IIRC) to Unknown Armies' big/heavy/penetrating classification system. The twist is, there are advantages to having weapons be small, light and blunt. E.g. a a light weapon gives you an Initiative bonus. 

Let's see what comes up.

Is the weapon...

• No --- its attacks are timed as if 1 Wider. We'll call this "Quick."

• Yes --- +1 Damage

• Hell Yes +2 Damage (Slow 1)

BIG?

• No --- conceal/draw

• Yes --- +1S Damage

• Hell Yes --- +2S Damage (Slow 1)

PENETRATING?

• Yes --- its base damage is WK

• No --- its base damage is W+1S
  

Optional Rule: LONG?

• No --- easy to conceal

• Yes --- Reach 1

• Hell Yes --- Reach 2

Okay, let's try it out!

RAPIER: Big and penetrating, not heavy = WK+1S, Quick
GREATCLUB: Big and heavy, not penetrating = W+4S
BRICK: Heavy, not big, not penetrating = W+3S, Easy Draw
DAGGER: Penetrating, not heavy, not big = WK, Quick, Easy Draw
LONGSWORD: Penetrating, heavy and big = WK+3S
GREATSWORD: Penetrating, heavy and 2x big = WK+4S
"Sharpened Piece of Metal From Underside Of Bunk": Penetrating, Not Big, Fast-draw. Not Heavy = WK damage, +1W for timing.

HORSECUTTER the ANIME SWORD
BIG? Hell yes
Heavy? Hell Yes
Sharp? Hell Yes
(W+4K/S Slow 2)

FARMER PETE'S SKINNING KNIFE
BIG? No
Heavy? No
Sharp? Yes
(WK, Quick, Conceal)

KNIFE ON A CHAIN:
Big? No (conceal/draw)
Heavy? No (quick)
Sharp? Hell Yes - WK & S)