Turn off the gas to your kerosene burners and wait for your stove to cool off completely.
Remove any pot stands from the top of your burner, with a wrench if bolted on. This is the usual set up for kerosene burners, but some manufacturers add a special key for disassembling their burners. If you can't find a match in your tool kit, contact your manufacturer.
Use your wrench or special key to unscrew the nipple from the top of the burner. Then twist off the larger needle wheel--usually one push counterclockwise, then clockwise to fully remove the needle valve.
Align the cogs of your new cleaning needle valve with your burner's spindle (tweezers can aid in this alignment), then press your needle into the burner's center hole.
Turn the wheel counterclockwise to let a few cogs pass, while simultaneously pushing on the needle to keep it seated. You can usually hear the clicks of the cogs passing across the needle.
Turn the entire wheel assembly clockwise until finger-tight. Screw in the nipple and any pot stands with your wrench or key.