you sound obviously well read with regard to the issues here. As you might imagine, DIY abatement is a bit of a hot topic. My first thought is, "are you really protecting your own health, and the heath of current and future occupants, by doing this yourself?" Bit of a range of ideas in what defines best practice here. I have worked many public jobs ( schools, government buildings, etc) where abatement of floor tile involved the standard sealing and negative pressurization of the work area, and filtered evacuation of the discharge air, PPE, air quality testing, etc... OTOH, one poster is correct, in residential work it is pretty typical to pop the tiles off the floor and sent them off to the dump. Doesn't mean that it's safe, or healthy, but it's pretty much SOP.
In this case, I would probably disturb the existing floor as little as possible, and go with a commercial grade level loop carpet in most areas, with small areas of tile where needed. This would avoid the need for significant removal of tile, and give you a rugged floor for rental use. JMHE, Laminates are good looking plastic covered pictures of real floor attached to fragile, paper board that turns to mush when wet. It damages easily, it clicks when you walk on it, it looks fake, and it's scrap. I hate the stuff. Doesn't matter if it is $.69 a foot stuff from the odd lot outlet, or $7.00 a foot, with a thin layer of real wood over the paperboard, it's all shit. The whole luxury vinyl plank craze is also a scam. I just did the majority of our new home with a click lock LVT. By the time the installers were sweeping up, I knew it wasn't going to be down long. Within a few weeks the manufacture had reviewed the claim, agreed that it was awash with defects, and paid to have it removed.
I have a good friend in the flooring business. two stores, several install crews out every day, and a few hundred thousand in DIY sales a year. He will tell you that the trend toward all the vinyl plank stuff is the one thing that keeps him up at night. He refuses to keep samples of the click lock products out on the floor. Seven years of trying different versions of the stuff and nothing but problems. As for the peel and press installations, or pre-taped edges, it's been a real toss up. Whole pallets of defective product from big brand names, and other issues.
Commercial level loop carpet in rentals is underappreciated. It lasts for years in places like hospital hallways, and offices. It is inexpensive and doesn't look bad if you find a decent color and pattern. If you really want a bomb proof install over the old tile take a look at commercial carpet squares. They are glued down with a removable adhesive, and when one becomes damaged or stained beyond cleaning, you grab it with a pliers, peel it up, and replace it. Good luck