What are the best and cheap ways to transport mattress under 100$, to a new city?
Answers:
How far is it between the cities. This kind of information will help determine if it is feasible to ship via UPS Freight, FedEx Freight, or common carrier. A hundred dollars might move your mattress fifty miles via one of these methods.
If you are moving long distance, sell your mattress and buy a new one when you get to your new home.
Good luck with your move.
Other answers:
Strap it to the top.
Strap it to the top.
a uhale truck
Dump it. It's time to get a new one.
U-haul has a small enclosed trailer which is tall enough for a queen sized matress and box spring. They have one way rentals for the trailers msaning you can rent it in one city and drop it off in another. Probably less than 50 bucks for a one day use.
On the roof of your car or in you dreams.