Steve,
Go to the home page, look for Tech Center on the left, Snowmobile Tech Center, Engine, and "Carb cleaning 101 with pics by MrViper700". This will help you out quite a bit.
Definitely pull the rack of carbs out and work on a bench.
Here are some basics.
1. Airbox Removal
a. Do not use a magnetic screwdriver. Just get the screws loose then pick up the top cover (remaining flat) which will hold the screws. Do the same for the middle section of the airbox.
b. You will need a long philips head screwdriver to get at the carb boots between the airbox and the carbs.
c. Remove air hose (1) connected to airbox.
d. Remove bolt near steering column that holds air box.
2. Carbs
a. Do not remove the TPS (throttle position sensor) from the carb rack. Instead, just disconnect the TPS electrical connector.
b. TPS stays where it is on the carburetor, otherwise you will need to adjust which requires getting or building a TPS tester.
c. TPS is on the left side in which the connector points upward.
d. Disconnect TORS (throttle over-ride system) electrical connectors. Usually these are two bullet type connectors on the right side.
e. Disconnect throttle and choke connections. Do not disconnect the oil pump cable. This splits off from the throttle cable and routes between the engine side carb boots.
f. Disconnect carb heater hoses. One on each side of the carb bank. Be prepared for a little coolant spillage.
g. Disconnect the fuel lines at the carbs (3). I usually plug each line, however I don't think it matters.
At this point you should be able to wiggle the carbs back toward where the airbox was and out. There's still fuel in the carbs so keep that in mind.
This should help you get them out. I highly recommend taking pictures as you go for your first time.
Also, when you go to put the carbs back in, pay special attention to how the boots seat. A leak can burn up your engine. Also, make sure you do a little research on how to adjust throttle free play, how to set the oil pump cable (very important), and choke free play. Once you get the carbs back in, it's important to set the idle, throttle cable free play, then the oil cable (the one I said to not touch above) in that order. Also make sure your TORS is working. If it's not working, it's usually the result of the throttle free play set incorrectly (not enough freeplay). The engine will also run rough if you give it throttle.
My best advice would be for you to get a service manual and learn how to search this site for info. There's a lot of great info on this site, and good people willing to help you when needed. If you get stuck, just ask.