Reddit mentions of Park BBB-1 Big Blue Book of Bike Repair

The bare essentials:

I have all of these in my basic tool set, and save for major mechanical issues or upgrades, I haven't needed a trip to the shop yet.

• A decent hex wrench set; the Park Tool AWS-8 fits all of the nuts on my bike.
  
  
• A decent wrench set; you can probably get away with a crescent wrench, but a few that actually fit your bolt sizes are nice to have.
  
  
• Tire levers, a patch kit, spare tube, CO2 inflator, or whatever other implements you'd use to fix a flat. A bit of an investment, but it'll save you a trip and an annoying recurring cost every time you need to fix a flat.
  
  
• If you don't have a chain that has a master link, you'll want a decent chain tool for removal, cleaning, and maintenance. Master link really is the way to go, though.
  
  
• If you're running your Fuji fixed, you need a good chainring bolt wrench. I know my chainring has a nasty habit of going loose far from home...
  
  
• A spoke wrench. It's not going to be super effective without a truing stand, but if a spoke goes loose on the road or you just need to make a minor adjustment, it can bail you out.
  
  Last, but not least, consider picking up a copy of the Big Blue Book or similar comprehensive repair guide. There are plenty of resources available for free on the internet, but I like the BBB because it has pretty pictures and makes for excellent bathroom reading. I also don't feel bad about getting grease on it, like I would with my laptop!
  
  As far as the move is concerned, I would recommend having your LBS package it and ship it to your new LBS for reassembly. They'll pack it correctly, and give it the once over and make sure it's safe to ride once it gets to your new home. You could probably do this on your own, but some things are better left to the professionals.