There's some great info and tips in this thread. Nice job fellas!
As someone who has had B4 carbs off and apart literally dozens and dozens of times... I'll highlight a few and add a couple...
First, that starter tube is EASY to bust and a PAIN to fix. You don't want to break it. When you pull the carbs with the throttle cable attached, you'll be tempted to rest the carbs on it (far right side of carb #4) while you're working. Be really careful with it.
All 3 of Pmackie's tips are right-on. Be careful when you take the black tops off. There's a little tiny o-ring under each one. Don't loose it! I always pulled the tops and diaphram/slide/needle/spring before removing the carbs from the intake so it had less chance to go rolling away. Still, my kids and I spend hours cumulatively searching for the damned things a couple times. Taking some good photos any time you dismantle something for the first time is a great idea. Hell I even did it the first time I pulled the tank so I'd remember where the hoses go...
If you're going to take the time to tear into them, get an o-ring kit and replace every damned one of them. If they're not bad now, they will be and this will save you going back in there.
Here's the Pitter method for getting everthing clean. Keep in mind, YMMV... Once you get everything pulled apart, hit everything with some carb cleaner. Using the straw on the can, force it through ever hole and passage. When you squirt it in somewhere, you should see it coming out somewhere else. WEAR EYE PROTECTION when you're doing this. I would ususally run a strand of wire through the pilot jet to be sure it was clean. Then, replace the o-rings and fit all the internal stuff back together. Check your float height (float height tool is very useful here) and put the a/f screws back to their earlier setting. Put the bowls back on (yeah, replacing those shitty screws with hex screws is a great idea!). Using some lube (I'd spray wd40 on a rag and wipe it on), very carefully (for the love of God, don't break that starter pipe now!) replace the bank on the intake. Then, drop the diaphram/slide/needle/spring assembly back in. Put the tiny o-ring back in it's place and then very carfully replace the cap making sure not to lose or move that o-ring.
Like Jay said, there's tons of info here and that site you linked looked good too. Everything I said above is here somewhere but I'm completely burned out at work and needed a break!
Good luck!