Tools necessary for an efficient demo
Assuming you plan to live in the house while this is going on, you should seriously look at the plastic "curtain" products which can be used to isolate the construction zone. They can tremendously reduce how much dust gets into the rest of the house.

Speaking of dust, a serious dust mask (one that achieves a good seal against the face rather than the cheap "nuisance dust" paper things) is a good investment, and surprisingly affordable. You only get one pair of lungs; it's worth protecting them.

Given that you've got kids in the house, you may want to think about whether any of the layers you're removing might contain lead. If so, you may want to test first... and if you find lead, you probably want to hire someone who knows how to properly control it and clean up afterward rather than going DIY.