Clogged Toilets
If your toilet is clogged, you can use a plunger to push the clog through the pipes. Do not flush your toilet multiple times! This may cause the toilet to flood.
Pump your plunger multiple times and then lift it to see if the water drains. If nothing has changed, repeat the process.
Drain Issues
If your drain clogs, you can use a plunger to try to create suction in the pipe. You may also want to try using drain cleaning products, but please don't use anything caustic that could damage the pipes.