Originally Posted by Gresp15C

Nice build! A three-speed on a nice slick bike is a joy to ride.

I have but one minor quibble, based on a similar build. The shift cable running directly from the bottom bracket to the hub, leaves a lot of cable exposed to get hung up on things. My cable got caught on the heel of my shoe, and got torn out while I was on a ride. I had to hobble home in 3rd gear. So I now add a little guide -- here you can see that it's just a piece of cable housing, innertube rubber, and zip tie. This has lasted for a few years so far. Also, make sure the shift cable can't get hung up on the cable guide that's down there for the original derailleur cable.