I think you'll find a good dehumidifier life-changing.
I certainly did when I lived in New Zealand and found the relatively mild temperatures chilled me to the bone in my flimsily-built (but earthquake-safe, apparently), uninsulated, single-glazed (with metal windowframes) home, and my clothes grew blue mould after a mere week in the wardrobe. I invested in a good dehumidifier, ran it regularly and problem solved.
I recently persuaded a friend at a knitting group to get one - her little boy was starting with asthma, and she has had it forever. She mentioned that there was 'a bit' of black mould started up every winter but she 'kept it under control' with bleach. After my advice, she looked into dehumidifiers in some depth, bought a top-of-the-range one last month and has been running it 'hard' with the result that she's not needed her inhaler, her little boy has stopped wheezing and - without any more chlorine bleach - there has been no return of the mould. She's hoping to run it for a few hours less during periods of fine winter weather, but says she'll have no hesitation in ramping usage back up if and when necessary.
I'm debating whether or not to get one in my new flat. Inside the built-in storage cupboards it seems to be a little damp, but how much of that is just general a lack of use, un-aired feeling, I'm not sure, as it has been unoccupied for much of the year until I moved in last month.