I live in a basement apartment in a soggy dip in the ground in Seattle.
Mold and mildew are a part of my life, sigh. I clean it off surfaces with Simple Green spray every week or so, and rub baking soda into my mattress where it grows each time I flip the mattress. You may need to flip your mattress fairly often if it seems to get moldy quickly. I throw away shower curtains and bath mats when they get grody, as cleaning them seems to be hopeless. I usually keep closet doors open so drier air will circulate. (the back of the closets are against the underground wall.)
When it is sunny I rush to open windows and lay things out on my porch in the direct light.
I've never used bleach in the house, because the smell of bleach makes me pukey.
I need to get the algae off my car one of these days, too.
Ahh, the joy of damp climates!
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson