Treating puppy for Sarcoptic mange.?

Hello, just found out that my puppy has Sarcoptic mange =( The doctor told me it very curable, and i shouldn’t worry. He gave me this dip that should clear it up within a few weeks. He told me to wash all his bedding in hot water, but is there anything I can do to treat the rest of the house, he’s an inside dog, hes a lil yorkie so there no way im going to stick him out side, and I have carpet and tile troughtout the house were he’s been. Will spraying Lysol Disinfectant kell these things? I forgot to ask the vet about that, and he failed to mention it. Please help if you can, thanks.
The Dip is called LymDyp, and he said that because its not so sevire, the dip should be enought, my pup has not lost hair from it, and i did get a few bumps on my arm from carrying him, but im not worried about that, the Doc told me it not posible to contract it, as its a k9 mite, and the mite just bite me because it though i was the host.

The parasites will die on their own in a couple of days without a host. You don’t need to worry about it. As long as your dog got good enough medicine that the mites can’t live on him for a few days, they will all die on their own.