Goedjn wrote:

You're doing treatment without diagnosis.
Where is the water coming from, and where is it going?
Where would you like it to go instead?

I agree

But who is going to provide such diagnostics (except the people
interested in doing the work)?

The water seems to be comming from below, because the ground is
saturated and the water table is high... But this is only a guess.

There are some bad areas outside the house, with the concreet pavement
sloped in the wrong directions, where the water is gathering during
the rain. Can be the problem, but again, I am not sure, and I can't
fix it easily to try...

If the water is pumped out, I would like it to go to the street, where
I am pumping it out now.

Thanks,
Arkadiy