Adding on to this:

Recyclable components can be recycled at electronics recycling facilities (those do exist). They'll typically handle everything about a device, except the battery if it's removable. So you don't need to worry about removing the housing or chassis, or anything like that.

Also, FYI, for large devices like TVs and CRTs, they may ask for a donation to dispose of it.

For the batteries (as well as light bulbs, even LED ones, because a lot of tech recycling places don't want to make distinctions between LED bulbs and fluorescent ones due to the mercury concerns), you'll want to try and find a hazardous materials drop location. Often they're sponsored by a government entity, like a health department or sheriff. You can also usually take old chemicals, paint, and expired medication.