Start the car and look for leaks under the car. If there are leaks, shut the car off and determine if the drain plug or filter need to be tightened, or if a part has been damaged.
Place your old oil filter face down in your oil drain pan and allow 12-24 hours for all the oil to drain out.
Take your old oil and filter to a recycling facility. Most auto parts stores and repair shops accept these at no charge. In addition, some cities and/or counties have a service where they will collect used oil and filters from your home. For more information, see the American Petroleum Institute's web page on used motor oil collection and recycling.