Milton solution is great for getting rid of mould, for big screens fill the bath and put the dilution they suggest on the bottle for disinfecting (not sterilising). You can get 5 litre bottles on a_man_zone. Man made fabrics take longer than cotton etc, leave soaking for 24 hours. Rinse the screens and dry. Might be wise to test a corner of the blind with the solution you mix just to make sure
White vinegar is also very good at killing mould, stinks to high heaven but smell goes after a few days,vinegar kills 70% of mould types, it works in a totally different way from chemicals, it gets right into the cell structure of the mould and destroys it, where bleaches and Milton work on the surface of the mould, so vinegar is the most effective if it’s one of the mould types it kills
Bleach is the worst stuff, whilst Milton is similar to bleach it’s much less harmful to fabrics and humans, it is after all designed for baby products