Hi. I did something like this in my house. I have a split level. I put Biscayne Oak from Coretec down next to oak stairs. The vinyl extends out down the hallway and into a bathroom and family room. This whole level of the house is the same. It looked the best color wise next to the oak stairs. I put the vinyl over where the tile is as there are 2 layers of tile and demo for that was costly. I am thinking to do the same floor in the upstairs hallway and kitchen, which again is all hardwood floors same color as the stairs. I am nervous to do this in the kitchen and upstairs hallway, but the bathrooms all have the coretech vinyl floor because again 2 layers of tile, and cost. I dont think it looks bad with what you want to do. I will say this, cleaning these coretec floors is heaven :) so easy

OK....so here is what I WOULD DO: Pull the carpet and lino BOTH and FIND OUT what's underneath. Carpet hides the WORST subfloors (both in prep and in materials) on the planet. Builders KNOW they can mess up the subfloor because carpet will hide everything. So....once carpet and line are GONE...I would then choose an installation material BASED ON the subfloor material that is in place. Example, if you have PERFECT PLYWOOD (which is EXPENSIVE....so I HIGHLY DOUBT IT) then you can think about peel and stick vinyl (which will be cheap, cheerful and require replacement rather quickly = 5 - 7 years). If you have PERFECT CONCRETE SLAB (again...HIGHLY DOUBT IT) then you can think peel and stick. See above. Now back to reality. The chances are you have bad subfloors. As in laun or fibre board or OSB (oriented strand board = looks like the plywood has been made from potato chips). If this is your substrate, peel and stick will NOT STICK. That means you NEED TO LOOK at floating (click together). The price will go UP because of the price of the locking system (royalties, manufacturing machines are expensive, etc) but the INSTALLATION will be faster/easier. Or you have horrible concrete (lumpy, pitted, sloped, etc.) and you need SERIOUS repairs on the concrete. That type of repair isn't going to come cheap. And it is a gut-wrenching DIY project. And vinyl is great for dogs....but PLEASE WORK with a product that is NOT MATTE. We have dozens of threads with people CRYING over their matte finished vinyl....and HATING IT. And NO, the finish is not defective. Which makes them even MORE upset....because there is no warranty covering "angry". And just for fun, a rental unit will have a different life expectancy for flooring. Rental units have a 7 year life cycle for flooring. Yep. That's sever (7) years and the floors need replacing. So....choose what YOU LIKE today. Get it as tough as your budget can allow (high-end laminate in the living spaces + decent vinyl in kitchen/bath/laundry) and then realize it will only survive a few more years (2-4 years) as a rental floor. That's it. And LAMINATE (especially the high end one's) are EXTREMELY tough. They are STUPID-EASY/cheap to install as DIY and require LESS PREPARATION to the subfloors than vinyl. Because rental property is in your future, don't think anything beyond "seven years".

I vote for floating, click, wood look, luxury vinyl plank. I especially like the style with knots and chatter marks. Lay it throughout the whole house, on the diagonal, with no thresh holds. That's what I did. I can clean the entire house in approximately five minutes with an electric leaf blower. Porcelain tile is more durable however it is more expensive to buy, more expensive to install, and more expensive to uninstall. Also, some tile is extremely slippery when wet whereas wood grain LVP is not slippery at all. Five years later I am happier than ever I chose grey driftwood luxury vinyl plank for a house with dogs, kids, beach sand, and lots of wet feet. If the house gets inundated from storm surge and ocean water gets inside, I can unclick the LVP, clean and dry the subfloor, and then reinstall the same LVP and it will look as good as new.

@Flo Mangan That's the problem with things like this. The builder in this situation owns this whole nice subdivision so you have to go with them. Then they trick you into thinking you are getting SOOO much incentive when you go to the design center. When you go in there you see that they have the lower grade LVT at a higher price point than of a much higher quality you could get anywhere else. So you then you are forced to pick and choose what you want to do. I know for a lot of people that want to move right in they just bite the bullet, or they don't know the pricing so they are somewhat stuck. When faucets, etc are so much more than retail you have to just figure out the things you don't want to deal with after close and and pay for those. The rest if you have the time to do it I suggest doing it after. We had that luxury so I did everything that we felt was much better priced after.