The Los Angeles Bureau of Sanitation will pick up for free bulky items that you put out by the curb (such as unwanted furniture), but you must schedule the pickup:

Go to https://myla311.lacity.org/
OR
call 311
OR
on your smartphone once you download the myLA311 app from your app store.

Once you go to myLA311 either online or via the app, you will see that you can request a number of services, including removing dead animals, addressing homeless encampments, illegal dumping, etc.