"Huston we have gunk"!
+1
start with your tank. if its dirty, your carbs will always be a pain in the @$$.
take your tank off and shake vigorously, empty some gas, shake again, empty some gas.....repeat until its empty. if the last gas you still pour out contains debris, pour in some fresh and repeat until its clear. at this point, check for rust. if there is, you may want to coat your tank. search for POR 15 or Tank Lining in this board. tons of info.
Clean your fuel lines (or get new ones), inline filter if you have one, and remove the bank of carbs to clean clean and clean. check your float valves for proper function, clean your emulsifier tubes, main and pilot jets. if you clean it well, you probably wont need to do it again.
add 1/3 bottle of SEAFOAM to your tank before you fill it.