Yeah, one can rock and or twist the bowls. Ztherapy.com is a good source for parts, an excellent DVD and rebuilds, should the need arise. The lower nozzle hoses come with the rebuild kit. Don't try to substitute another type of hose. These hoses are super floppy to prevent the nozzles from binding.
I'd start by pulling the bowl cover, the floats, and the needle and seat. Clean the crud out of everything and reassemble. Oops, two things. It might be a good idea to check the float height (per the shop manual or DVD) and when you remove the bowl covers, wrap the gasket in aluminum foil and press it flat in a book. They will dry out in just a few minutes and curl up into a Pringle if left exposed to the air. Anyone, It's been a while since I looked at the float bowl vent hoses but as I recall they plumbed into the air filter base. Hope that's right. If it's not, it would still be a good place for them.
I'd get the rebuild kits and the DVD or at the least a shop manual. There's nothing complex about the refresh. Cleanliness is the key. I haven't checked but there's probably lots of videos on YouTube.
The carbs are easy to remove. The base nuts are a bit fiddly and one has to take extra care when reinstalling (adjusting) the choke cables.