Kitchen sink clogs are usually due to a buildup of grease and food, but can be complicated if a small utensil has become lodged in the trap below the sink. Sink clogs in bathrooms are usually caused by a buildup of soap scum and hair, unless you have young children - then it's anybody's guess! The best time to clear a clogged sink is as soon as you notice that water seems to be draining more slowly than usual. Don't wait for the clog to grow and cause potentially more serious problems.
Plunging is the easiest approach to clear a clog. It's particularly effective for clogs such as food scraps in a kitchen sink, but usually is ineffective on soap, grease, and hair clogs. There is also some risk that you will just force the clog further down the drain, making it harder to access. In most cases the best solution to remove the trap below the sink. It takes a bit more effort but that's likely where the clog is, and with the trap off you can easily remove the clog without the risk of pushing it down the drain and without the need for toxic chemicals. If the clog does lie beyond the trap, you'd need to remove the trap to snake the drain. If all else fails, use a chemical cleaner as directed on the label.