I first made a 5 lead 4 bight Turk's head knot at the handle guard end, made into a Gaucho knot, then ran the strand up the handle, through the lanyard hole, back down the other side, and around one bight of the TH knot.
From there I wrapped the cord up around the handle, going under/over the vertical strand on each side, up to the lanyard hole, then finishing with another Gaucho knot, trimming and tucking the start and end strands.
If you prefer a better knife, there's always higher quality/priced blades with similar handle shapes that may work, like the Zero Tolerance Boot Knife, or some older Gerber models if you can find one.
And a couple more wraps done on Leeds mini pens, one with black 0.9mm cord with Gaucho knots on each end, coiled cord down the center length, with the other done in white 0.9mm cord, Gauchos tied on the ends and a long 4 bight Turk's head knot, doubled, in the center...
Also on my EDC keyring are a Brass Peanut Lighter, a Swiss+Tech Utilikey, and an Inova Microlight.