Hi Walker2, You're going to have to service the entire fuel system ( tank cleaning, carb cleaning, fuel lines. petcock filter and screen. tank filter screen also, if you still have one installed).
Quick reference material has the service manual. Also, many fine carb cleaning articles there.
Try not to use carb cleaner with the rubber ( o rings, gaskets, rubber plugs,air cut off valves and accerator pump diaphragm installed--it will deteriorate them).
If you have access to an ultrasonic cleaner it will make the carb cleaning easier,
Check out (in the buying forum) Larry Cargills excellent guide to cleaning the CX/GL carbs (about 25-30)
Lastly, after serving the fuel system, be sure ti install an inexpensive in-line fuel filter just after the fuel petcock,--PROTECT your newly cleaned carbs.
Consider running (once) Techron Fuel System cleaner) or alternately Seafoam through with fresh gas.
Post us, - many helpful members here. sam