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This cutter should be sufficient to cut the wire itself, especially a double strand wire.
More precise cutter used for trimming off barbs.
Capri Tools CP40209 40209 Klinge Mini Bolt Cutter, 8", Blue/Black
Similar to the smaller cutters, depends on your preference and hand/grip strength.
Wiha 32760 | ESD Flush Cutting Diagonal Cutters
For making heavy bends in the wire, especially helpful for bondage applications.
IRWIN VISE-GRIP Pliers, Fencing, 10-1/4-Inch (2078901)
Preferably puncture resistant to protect your hands.
HATCH FMN501 Cut/Needle Puncture Resistant Glove
Makes it easier to dispense and store the spool of wire.