+1 for de-humidifiers, but don't even think of non-electric versions. You could try drying clothes in the smallest closable room with the de-humidifier running, just remember to empty its water tank regularly. This way the rest of the apartment won't get more humidity from the drying clothes. And I have the suspicion that de-humidifiers are more efficient for smaller spaces...
If your apartment is not on the top floor, your top neighbor's bathroom (broken pipe/plumbing) could be the cause for the mold in yours. Otherwise, it must be the roof (but then I guess it's not directly your landlord's fault, there must be a caretaker/representative of the whole building who has to commission roof repairs, if things in Poland work any similar way than in Hungary).
If moving to a rural area (like small villages with <1000 residents, far from bigger cities) is an option for you, you might want to check the rent on houses there. This way you might be able to get a house with a garden, which is a) cheaper than your current apartment, and b) isolated enough from neighbors so that making noise would not a problem.
Best of luck with moving out!