Reddit mentions of Park Tool SW-7 Triple Spoke Wrench for Nipple Sizes of 0.127, 0.130, and 0.136- Inch

Lube your spoke threads with linseed oil.

If you're replacing one or two spokes a year, you don't need a truing stand. I use a training stand bought off craigslist to hold the wheel and sockets to identify high spots on each side and along the perimeter. You can even turn your bike upside-down and use the brakes as truing gauges. Unless you're building wheels for Lance Armstrong, you can eyeball dish. You don't need a tensiometer, you can feel when the spokes are tensioned about right. Especially if you're only replacing one spoke on a wheel, when the wheel is true, it's tensioned right. I use the SW-7 3 size spoke wrench because I work on a wide variety of bikes and it covers every spoke nipple I've run into.

Don't be afraid to dig in. The worst that can happen is you break another spoke.

Don't forget to lube the threads with linseed oil.

EDIT: Sheldon Brown Truing Guide!

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.

http://www.amazon.com/Park-Tool-Triple-Wrench-Nipple/dp/B000WY8LSM
This is not a bad choice if you're not sure which size you need.

I cannot recommend the Rocket Ratchet enough for all-around, single tool efficiency. It's gotten to the point where I don't actually use the tools in my toolbox even when I'm at home. I just use the ratchet and it's way better. Any multi-tool with a chain-breaker will work, I've just had a really good time with that one.

After that a set of Pedro's. For my money, they're the best levers around. Great durability, can spoke-lock from both sides, and I've never ripped a tube with them, even on bullshit 23 tires.

After that basic patch kits, they'll use them all the time until they throw their hands in the air five years from now and scream "FINE I'LL GO TUBELESS."

Those are kind of the basics, and will allow them to work 90% of the stuff on their bike. The other 10% becomes more expensive and more specialized.

EDIT: oh, and a spoke wrench is the other cheap and highly useful item to have around.

Good stuff. Additional tools:

• metric (and maybe SAE) hex wrench set
  
• floor pump
  
• spoke wrench (make sure to find the right size, you can get a 3-fer combo one that will work in a pinch for the major common sizes but you'll probably want to buy a specific one for your wheels as well)
  
• spare tubes!
  
• basic general tools: crescent wrench, needle nose pliers, maybe 8-10mm combination wrenches (assuming you don't already have these things)
  
  Chain lube and degreaser is, as far as I'm aware, not really bike specific. There are different chain lubes depending on preference, climate, and use, however (worth reading up on).
  
  As for the bike stand, you can get by without one for quite a while though they are enormously handy. I have a workbench that I can use to pick my bike up by using a couple of clamps (which isn't ideal but it works ok), otherwise I'll just flip the bike over for most of the stuff I'd use a stand for, if you can afford it you should get that stand though, it'll make your life easier.