>>274782009
I'm qualified for this.

1) Design phase
 - How deep do you need it. A complete basement? That would need passive soil pressure resisting shear walls. $20,000 on design that includes stamp, sign and seal.
2) Excavation phase and Mobilization
 - Including shoring, water silting, soil poisoning etc... $30,000
3) Construction phase
 - Say a standard 1 bedroom house basement. 20ft x 20ft size with 10ft deep. Materials have to be concrete. $80,000

So approximately a $130,000 to build this.
Also take note we will have to find a nice 20ftx20ft area in your house with as little pipping nearby as possible. If there's a lot of pipping that will be affected add another $20,000 on top of that.

https://streamable.com/jo70n

Note: Prices may vary depending on your state, laws, taxes and material availability sourcing near your place.