I found out first hand that getting my city to dispose of large objects (in my case a box spring) isn't a fun process. I didn't have the means to get it to the dump myself so I had to print off a request for a special collection, mail it in with a check for the fee for said collection, and call at a later time to confirm that they had received my request. More than a week after I decided I wanted to get rid of it they came and picked it up.