Here is a list of items you need in order to remodel your weapons. Theres two methods of aquiring the item. You can either defeat a certain monster (Method of Aquirement) or you can use card mod. For the # of cards when it reads for example bomb fragment 1 Bomb Card will give you 1 Bomb Fragment hence the 1 = 1.
Item
Method Of Aquirement
 Card Mod # Of Cards Needed
Betrayal Sword

Mug Blitz or defeat level 1 - 19 Forbidden

Forbidden
1
Bomb Fragment Mug Or Defeat Bombs.
Tonberry
1 = 1
Chef's Knife Mug or defeat Tonberrys. Once tonberry card gives you one chef's knife.
Tonberry
1 = 1
Cockatrice Pinion Mug or defeat Cockatrices between levels 20 - 100
Cockatrice
1 = 1
Dino Bone Mug or defeat T-Rexaurs. Or Modify armadodo cards.
Armadodo
1 = 1
Dragon Fin Mug or defeat Grendels.
Grendal
1 = 1
Dragon Skin Defeat Anacondaurs between levels 30 - 100
Not Able
Not Able
Dynamo Stone Defeat Blitz between levels 30 - 100
Blitz Card
1 = 1
Fish Fin Mug or defeat Fastitocalon-F's
Not Able
Not Able
Fury Fragments Mug Blue Dragons
Blue Dragon Card
4 = 1
Inferno Fang Mug Ruby Dragons
Ruby Dragon Card
10 = 1
Life Ring Mug Lefty or defeat levels 30 - 100 Turtapods
Turtapod Card
5 = 1
Magic Stone Mug or defeat Bite Bugs between levels 20 - 29
Buel Card
1 = 1
Mesmerize Blade You can defeat Mesmerize at any leverls
Mesmerize Card
1 = 1
M-Stone Piece Defeat Bite Bugs between levers 1 - 19
Bite Bug Card
1 = 1
Ochu Tentacle Mug or defeat Ochu Tentacle's
Ochu Tentacle Card
1 = 1
Red Fang Mug Chimeras or Hexadragons
Hexadragon Card
3 = 1
Saw Blade Mug or defeat Belhelmels
Belhelmels Card
1 = 1
Screw Mug or defeat Geezards at any level
Geezard Card
1 = 5
Sharp Spike Mug or defeat Grand Mantis
Grand Mantis Card
1 = 1
Shear Feather Mug Thrustaevis between levels 1 - 29
Thrustaevis Card
1 = 1
Spider Web Mug or defeat Caterchipillars
Caterchipillars Card
1 = 1
Star Fragment Mug Iron Giants
Iron Giant Card
3 = 1
Steel Orb Defeat Wendigos at any level
Wendigo Card
1 = 1
Steel Pipe Mug Wendigoes at any level
Elastoid Card
1 = 1
Turtle Shell Mug or defeat Armadodoes at levels 30 - 100
Adamantoise
3 = 1