Wierd Fungus in my basement, what is it?

My basement leaks when it rains. Water comes up from the floor so it's ussually pretty wet down there. I brought a crap load of laundry down there and just tossed it on the floor. Today I noticed a wierd whitish/greyish mushroom like things growing along the base of one of the walls near a damp laundry basket, they are also growing out of the cracks in the floor. I took some pictures but I don't know how to put them on here. What is it? Is it something I should be really concerned about? I have a small child and I'm also pregnant, so I'm really leary about going into the basement now. I don't have any money to call a profesional so what do I do?