Waste Connections will dispose of your refrigerator/freezer as long as the Freon is removed by a licensed technician and a "free of CFC" label is affixed. Call the Solid Waste Department at 512-314-7514 to schedule a pick up.
You may drop off your refrigerator/freezer at Eco Depot, located at 4001 RR 620 S, 512-263-5265. There is a $40 fee to remove the Freon.
Salvation Army will pick up working refrigerators free of charge. Call 1-800-728-7825 to schedule a pick up.