The local utility company is a good place to find out about large appliance pick-up. Not only does it frequently pick up old appliances for free to help customers upgrade to an energy-efficient model, some local utility companies even pay customers to upgrade.
Another option is to check with the local city about donation or recycling programs. Donation companies such as Goodwill and Salvation Army often accept appliances if they are working and are willing to pick them up for free. Recycling programs also sometimes pick up appliances for free. Check the local city website for resources regarding these types of programs.