I rebuild my C1Q-P22C Zama carb on my Craftsman MTD weedwacker and it runs great. You can download the rebuild manual from Zama's web site.
A couple of things on the Zama carbs to watch out for. The oblong welch plug is prone to leaks and debris from the old sealant. You rarely need to remove the welch plug, but you do need to carefully remove the old sealer and reseal it. Use a high temp low viscosity cyanoacrylate glue (Superglue) applying just enough to fill the void. Your likely to get several opinions on what sealer works best, even Zama's tech line does not have a definitive answer with the ever changing gas reformulations.
Do not use compressed air or dip the carb to clean out the passages, only a very light spray of carb cleaner or an ultrasonic cleaner. Otherwise you could damage the check valves and the carb is trashed. As mentioned check/replace your fuel lines and primer bulb if they are yellowed,brittle or cracked.
I used the complete rebuild kit and replaced, the pump and metering diaphragm,screen and needle. From what I researched, most of the time you can just clean the carb, use the diaphragm kit and your done. But check your prices, right now my kits are only $1.50 difference online. The degradation of the rubber diaphragm from the gas is the main problem. Mine were breaking down , wrinkled and deformed.
Between the ethanol and reformulation of the gas, the carbs on these little two strokes will probably need carb work every few years.
Good luck.