Another thing you can try before you go tearing into the carb, start the engine with the air filter/ cleaner off of it. Get up as many RPMs as you can, then snuff the engine out by covering the throat of the carb with the palm of your hand or a wadded up shop rag. Do this a 5 or 6 times and see if it helps. What you're doing is creating vacuum inside the engine, which may suck the gunk out of the tiny fuel passages.
I've done this on lawn mowers, chain saws and outboard motors with success.
It's quick, easy and doesn't cost a penny, good luck.
Dan