How can I find a room for rent & not be homeless help?

Me & my mom did mistake to live with a roomate past year in far city the rent was expensive we spent all our savings & no job , dangerous area, we already packed moved our things to a storage. A friend of moms might let us stay next week and week after to sleep as we start new job in new city we used to live in Tuesday. And we’ll be paid til 2 weeks so we can pay for a room for rent except all rooms for rent want only one person or rooms are $1,000 and rare to find one of $500-$600. Mom doesn’t work only cleans one home a week but we r broke. She cud of bought a home wen she was younger but my dad did drugs and dad now lives in car & mom is broke. Craigslist it’s not luck to get a room either $1,000
And mom needs pay $500 or $600 for a room as I’ll pay half so we can save so she can buy a home in few months. No rooms except us both and all friends have roommate in room renting already.
How can I find a room for rent & not be homeless help?
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