Or even a birthing center that is staffed by midwives and is not a medical facility.
They exist, im not sure about Warsaw but we found one around 2 hours drive away but decided to go with the NFZ (state) system and had no complaints at all. In fact the service excellent from start to finish, private rooms before and after birth for the whole time.
There were two main reasons we opted for the NFZ birth, one the distance to the private centre was too far should labour be on the short side and 2: if there were any compilcations the private birth centre did not have the facilities and we would have been taken to a NFZ hospital anyway.
We were also lucky in the fact that the hospital we decided to use was new and very clean, we had actually scoped it out months before the due date and brought in cakes and such for the staff.
I should think you'll find it very difficult to source a mid wife that is willing to carry out a home birth. I would suggest visiting several hospitals to try and find one your comfortable with, perhaps bring in the usual bottles of Whiskey for the Doctors and such, it really does go a long way.
Best of luck anyway.