It's not easy getting clothes dry in the winter is it?
If you can afford it, get a heated dryer - I believe Aldi have one for cheaps this week, or there is a more expensive Lakeland version. You can pile washing on it, and cover with something large like a wet duvet and it should dry more quickly. It will also smell fresher. Try to leave the dryer in a small room where you can have the window slightly open and close the door. Your clothes should dry in 24 hrs this way.
Dealing with mould is a three-stage process. First, you gotta kill the damn stuff off. Second, you need to have a military-style regime to get rid of as much moisture in the house as you can. Third, you gotta do whatever it takes to make the environment more hostile to it!
First, treat the mould with a spray - I use Blitz That Mould from Lakeland. Just wiping it may not get rid of the spores. Be aware that these sprays contain bleach, so be very careful around carpets and curtains (remove or cover) and wear old clothes. Make sure you get behind furniture, into corners etc. Also, have a look at books - in a very damp environment, they can become utterly mouldy and horrible.
Then remove the moisture. Religiously squeegee down all condensation off windows onto an old towel each morning (takes less long than you would think). Leave the windows open for a bit afterwards to get rid of any excess, then shut to keep the warmth in. If you use old white towels, you can pop them on a hot cycle in the washing machine every couple of weeks with some vinegar and clean your machine!
Squeegee down the walls and any shower screen as well. The more water you can remove from the environment the better. Consider using wrung out damp cloths to clean floors so that you don't have excess water hanging around, e.g. from a steam mop.
Consider ironing without a steam setting, and try to avoid having pots and pans steaming away for hours in the kitchen if you can.
Then prevention - when you repaint rooms in which you dry your washing, consider using a tougher and more wipeable/mould resistant paint like bathroom paint. Get extractor fans fitted when you can as well - this will make a world of difference.