There is a LOT of info about knotweed control on the internet. You will not be able to control it organically, short of removing massive amouts of soil along with all root systems, which as noted above needs to be treated as controlled waste. We have a fair bit of it which we have controlled reasonably with glyphosate, applied repeatedly at higher than usual concentration over about 3 years. However there are extensive root systems which can reactivate on disturbance, and small amounts always seem to resprout. It is not supposed to seed, but tiny root fragments eg transferred on boots or wheelbarrow inadvertently, may start a new clump. It has emerged in my strawberry bed, and I am not sure how it got there. It sounds as if the growths in your place are going to be very difficult to control and probably impossible to eradicate, and being so close to the house, may leave you with a problem if you are selling years down the line.