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This varies heavily by location. I'm not sure "usually" comes into it. In and around cities it's not uncommon for the city government to handle trash collection. Farther out into the 'burbs or in rural locations you might have to hire a private trash company.

What, too much freedom for you to handle?

yeah we got like 6 companies that take care of trash in my neighborhood

I probably should shop around I'll bet one of them is cheapest

In Australia we pay about $700 a year to the local government to collect the bins

It can also be included as part of your taxes as well. I used to live literally 1 street over from where the official city limits were (a whole 1 mile from downtown), and while the city provided trash/recycling services within that boundary, anyone outside had to pay like $30/mo for a private service that only did trash pickup, and had to pay another $12/mo for recycling.

In my new town, we're on the very outskirts of the city, but it's all provided by the city as part of our property taxes. We get recycling, trash, and compost services. Best part is you even get 1m³ compost and mulch from the city from the compost service. We grew an absolutely insane amount of vegetables from it last year, it was really awesome.

I live in the US and garbage collection is free in my city and many others.

What do you think the US some socialist country?! Everything must be a private country because... Capitalism! No "socialized" waste disposal here!

Of course...? Trash collection has to be paid for, either privately or publicly, e.g. taxes. There's an Australian commenter below who pays almost double what I do as a yearly tax. In any case, you can always opt to deal with your own waste.

For example, I could burn, recycle and compost most of it for free. I make mulch from yard waste, ditch metal by posting on FB Marketplace, Craigslist, etc., for the scrap metal guys to grab.

Same for serviceable goods. Just put out some lawn chairs that I don't have the tooling to repair, and they're gone. I used to pick up old vacuum cleaners and repair them for a few dollars, give them to friends and neighbors or sell 'em for $20. (Great little side hustle. 95% of them just need a deep clean, new belt and bag.)

I've picked up a literal ton of stuff that's not good enough for one's home but works great at my camp in the boondocks. Got my wife a new TV yesterday and converted the Styrofoam packing into napalm for starting campfires.

I have two companies to choose from, because competition is good. $35/mo. covers my trash, and since my neighbor doesn't have much money, I let her use my cans. Call it <$20 per household. Think the government could operate that cheaply?

Buddy of mine drives around picking up old washers and dryers for free. Fixes and flips 'em for a nice profit. (This is hilariously easy.) He clears $100+ a pop, and people save $200-$400 on a new machine. Win-win.

In my area, if the government handled it all for "free", all that creative recycling/upcycling would end up in a landfill. Because who would give a shit? When you have to pay out your pocket for disposal it motivates you to think. Why would I bother rinsing and crushing my cans for personal profit if the govenment made them go away for free?

Some municipalities in the US may also have public trash collection similar to what you describe. It varies a lot from place to place.