Non-contaminated:
Broome County Landfill
286 Knapp Rd., Binghamton NY,
Cost: No charge (residents only)

Note: limit of 5 gallons per person per day for no charge.     
Contaminated: Fluids mixed with other fluids such as gas must be taken to:

Hazardous Waste Facility                   
286 Knapp Rd., Binghamton, NY.
Call 607-778-2250 for more information.
Fluids may also be taken to any service station that performs oil changes.