I would buy a dehumidifier for now as no amount of washing with bleach or windows open is going to fix it. Used to own a solid wall house and the only thing that helped was the dehumidifier.
It's all down to ventilation and movement of air.
Houses didn't suffer much with it when coal fires were in use. Now, central heating systems are not very good for air circulation.
Positive air system is the very best to get but can cost up to 1.5k
a dehumidifier is a waste of time as they dont slove the issue, all they do is take moisture out the air so you are forever emptying it.
a postive air input system can be installed for around £400 depending on how much an electrician charges you fit it (they have to be plugged in to the mains)