I had to take 3 steps, thankfully paid for by the seller once we had
the inspection:

1. Regrade the outside.
2. New gutter along that side of the house, a big large gutter, and
make sure the exit pipes go right out away from the house, mine go out
15 feet under a deck. There was standing water under the deck once.
3. Dehumidifier in the basement, run it all the time if necessary when
its damp. I have a high velocity fan (on low) blowing there 24/7 also,
to circulate the air and help the dehumidifier.

I also put tight heavy plastic canvas under the deck, once the grading
was done, to bring any water right away from the house.

Now the flooding is gone, if anything there is a small leak once or
twice, nothing much.
One more thing, make sure the sump pump works fine.

Also, sounds like you could lose the carpet and have something else,
such as bare concrete (like me).

Good luck, don't worry, these problems are common and you will get them
fixed!

Dean