Better than sleeping on the sidewalk!
The $10,000 cost seems a little high?
Those little storage sheds like Menard's, Lowes, Home Depot sells for around a $1000 would do the same job (maybe with a little modification). Or one of those small cabin kits that I've seen some places I think are cheaper than those huts.
Example: Cost breakdown is in New Zealand dollars. Translated to US dollars, cost was about 17 grand. Note the use of gifts and salvaged materials that reduced cost. Also note some conspicuously missing things, like don't they have a toilet? What about wall insulation? What about land to put it on? Utilitiy hookups? A lot of dollars are missing from that breakdown.
What about insurance, appreciation, resale value? I dunno, but prolly pretty grim.
Cost of renting a mobile home pad at a trailer park commonly runs $200 to $300 a month. Where do you put the thing?
Here's some other considerations...
Some without wheels...
I used to think ten grand was a lot too, but read up on it. Big costs are the trailer that the house sits on, and interior finishing. Figure the cost of doing a kitchen, bathroom, bedroom, and living room but with fewer materials and all custom labor and furnishings. It adds up. You don't just go to the furniture store and buy a dresser. You have it made custom to fit into the tiny house.
Average cost for the tiny houses is closer to twenty five grand, but that's still pretty bare bones. Forty grand is not at all unusual. Seventy five grand and up is a well appointed tiny home.
In other words, you pay a lot to get a little. Have all the problems of a mobile home with few of the benefits. It is basically a "fool and his money are soon parted" proposition.
In Portland Oregon, which I'm pretty familiar with, people rent space in the back yards of people who own conventional houses. I don't know how water, sewer, and electric hookups work in a case like that, but I've seen long term RVs parked in a yard and they had pvc plumbing that hooked up to the septic system, a hose from the house providing water, and extension chords from the house for electricity. I don't know what a proper hookup would look like.