You can either use hydrogen peroxide as suggested already or you can go to your local walmart or whatever and get some spray that includes a mold killer. There are many sprays that do multi function also, you might just browse the isle and try to find one of those so you can kill two birds with one stone, or at least prevent bugs while killing the mold too.
One spray I use includes a fungicide, miticide and insecticide all in one and is completely non toxic and can be used until day of harvest if you absolutely must. It's called "Tomato & Vegetable 3 in 1" it's by Bonide brand and comes in a white spray bottle with purple accents and is sold in most stores I think. Primary ingredient is Neem Oil, great stuff. I've seen it around a lot anyway. There are other brands though too.
I prefer the multi purpose stuff so that I don't have to buy a bunch of different things, it adds extra protection and control to the crop at no extra cost, and also cause it means less spraying which is a real pain just in itself.
There's really no point in transplanting now even though that's naturally tempting. The mold is in there and you can't ever get rid of it with a transplant, that will just shock and add time to your grow but not fix anything.
The mold on your soil will not infect your buds provided you keep your buds dry aside from a spray like this. No spraying of any water during budding now that you know mold is there. Try to reduce the humidity in your grow.