Adding sta-bil is a great idea. However, not only should you add it to the tank but you should run the bike for several min. so that the sta-bil is in the lines and carbs/injectors. If you don't the carbs and fuel lines will gum up becaue that gas is not protected. Make sure to mix it well too. Grab a handful of the front brake and compress the front forks several times up and down. Then rock it side to side. I've seen unprotected carbs off of old Triumphs that were NASTY after one winter of unprotected gas.
Pull 'em off. Pull the bowls, clean out with some good carb cleaner etc..
now with the jets.....pull the jets out soak 'em in some carb cleaner or carb dip, for alittle while. if they look clean just spray off and blow dry with compressed air. Now when you clean out the mixture screws etc.. turn them all the way in counting how many turns. this way you know how many turns to bring them out when you put them back together.
Their is more difficult shit involved like pulling welch plugs on some carbs etc.. but i usually don't worry about them unless the carbs look really nasty.
theirs really not much to it. Just keep the carbs all together (don't separate the rack)