Whatever solution you come across, remember not to attach anything through the laminate and into the subfloor. You do not want to lock down the floating floor anywhere, not even at at step edge, unless you do so in a manner that will still allow the floor to move if it wants to. If you can't figure out how to use a laminate nosing, then you're going to have to come up with a solution that will work and still allow the floor to 'float'... Take time and study the problem from all angles...it is essentially a problem that requires a problem solving solution. Many a great invention was thought up attempting to solve a problem. Hopefully you will have a 'eureka, I've got it!' moment.

if the existing laiminate was glued to each other then it most likely wont be re-usable. if it was a click or snap together then yes if carefully deconstructed. Your entire plan hinges on those unknowns. As to your flooring choices, buy what you think looks good and what you can afford. I do not recommend hardwood or carpet for wet areas. For kitchens and baths I recommend resilent sheet/tile products or ceramic tile/stone. Other than that, you have a ton of choices. No on knows your likes and dislikes better than you do.

A floating floor is a floor that is not anchored to the subfloor (gravity holds it in place). A floating floor must have an expansion gap around the whole room. That means there will be a nice, big fat gap at each and every wall. The ideal expansion gap is the same thickness as the laminate. The laminate you show is 10mm thick. That means you must have 10mm gap at every single wall and a gap of 10mm on EITHER side of the door jam. Because this is a rental AND the existing floor is VERY WELL installed (baseboards appear to have been done properly) I do NOT suggest you install quarter round or shoe moulding. That means you will LEAVE the gap all the way around. This gap will fill up with crud. And then to add insult to injury you MUST use an underlayment product. Your product of choice has an integrated underpad which is most CERTAINLY plastic stuff. Even if it didn't have it, you would need an underpad to protect the existing floor. The underpad MUST NOT be plastic or vinyl or any product that will trap moisture. That means you need to work with 3mm cork underlay or Quietwalk fiber based product. Either of these products will add $$ cost to your project. But this point is moot because you have a laminate with plastic underlay = absolutely not allowed over an existing wood based floor. Ever. But why no 'plastic'? Because it will cause the moisture underneath the existing floor to catch on the bottom of the plastic and DRIP DOWN onto the existing floor. And you will be left with a fantastically moldy mess that you will be required to pay for. And considering the fact the existing floor is THROUGHOUT the house, you might be required to remove/replace the ENTIRE THING. Because a tenant must bring the home back to the ORIGINAL state. And that state includes an entire house covered in the SAME floor. Right. On to the transition strips that you will WANT to use at the doors...but will not be ALLOWED to use. Again a reducer (what the transition strip is called when moving from a 1/2" step down to 0" inch floor (like concrete or the existing flooring level). Why can't you use it? Because the transition must be ANCHORED. That is to say you would have to affix the transition to the EXISTING floor. IN doing so you risk (100% risk) of damaging the existing floor. That brings us back to leaving the house in the way you found it. And back to the issue of a floating floor over another floating floor - this is bad science. An unstable floor on top of an unstable floor. It would be like building with marbles. The warranty on BOTH floors is void (landlords love to hear these things...you might own them another floor if they find out about another floor sitting on top). In short: Don't do it. You will have one heck of an expensive 'project' on your hands when you move out. A white area rug would do MUCH better and would be MUCH cheaper.

Jen K We're putting down Countryside Oak - Gunstock from their Luxe line. Was back-ordered for 2 months so I'm very excited. The ruggable reviews I've seen on here are from years ago and I know they're constantly updating. I did order a felt pad just in case, so we'll see how it goes.