Ditto on the "choke pull-off" or "unloader". I am guessing you don't know what that part is since "choke sticking" isn't the same. Look for photos. It is bolted near the top of the carb, with a short linkage to the choke plate and a vacuum tube from the bottom of the carb to it.
They often go bad (carb cleaner ruins the rubber diaphragm). Besides the steps above, a good way to test one is with a hand vacuum pump. Without that, the "poor man" method is to disconnect the vacuum hose, push in the plunger, block the tube with your finger, and see if the plunger stays in. If it moves out, the diaphragm is bad. Costs <$10 and makes a big difference in easy starts and avoiding "dying rich" on cold mornings.