How to have cements floors in the house?

Ok, then what you can do is pull up the carpet and have the cement "polished." Depending upon the condition of the slab, they might need to float a layer of cement on top, then polish, or an epoxy finish. Best way to decide how to proceed is to get estimates and have consults with contractors that specialize in this line of work. Here is how to hire.

https://www.consumer.ftc.gov/articles/0242-hiring-contractor

Just know it will be very cold underfoot in winter and you will need area rugs. Also very hard on aging bodies or those with arthritis, back or feet problems. After my first back surgery, I had to invest in gel pro mats for the kitchen. Don't cheap out, this is one time to purchase name brand. The knock offs fail in the short term. Pets will also need extra protection under their bedding as it can be hard on them too.

In some instances they can install in floor heating sandwiched in between the current floor and the float on top. See if that is possible and if it is I highly recommend it.

The upside is that it is cool in summer and really easy to clean!

vinyl plank flooring, you can get extra padding so it soft and feels good to stand and walk on. Very easy to clean, water proof. You don't have to hurry and wipe water off like you do with wood floors. I have remodeled and lived in a lot of homes, it's the best. These floors don't hurt like tile does. Good luck.