jessica,,doors are much easier to change than the floors, so get a darker tone like the walnut. on the doors that face the wood floor, maybe you could have the flooring guy strip the doors and apply the same stain/finish to them? you may be able to do it yourself. if you give the doors a light sanding, 120-150 grit, you may be able to go over them w/a gel stain in the special walnut. (try varathane or General Finishes, no Minwax!) they look like Doug Fir. it will take away the orange tone and add a bit more depth to them. maybe try it on a door you plan on painting? like the inside of a room or something? if you can, remove it from the hinges, lay it on a sawhorse, do the sanding to remove the top coat, wipe w/a mineral spirits to clean, let dry a bit, then wipe on the gel stain, working it in and wiping off the excess. dries in a few hours. you should see a change. you are removing the carpet on the stairs? do we know what's underneath them? are the treads oak? are you putting in a runner? what color are you doing the walls? if doing a light color, you could redo the handrail in the same tone as the floor or the treads/risers. All depends where you're going w/that.

IMO stairs should match the main floor flooring and I would also do the landing at the top of the stairs the same. You then have a cohesive look with the bedrooms as private space can be much different than the main living space.

I would leave the cabinets, they look to be in excellent condition, and plan for new countertops. I dont like beige either, so I agree with the suggestion of either light gray for the carpets, or preferably pick out bedding and work from it for your carpeting. After seeing your tile, I can understand, why you want to change it in a yr or so. Its very very busy. Congratulations, on your new home. It looks to have been well maintained, and is very clean, and thats a huge plus.

Stairs are always tricky. As soon as you touch them (change one surface to another) you must update them to match 'code'. So removing carpet to lay LVP (wood is going to be a code nightmare...just so you know) and then covering with carpet sounds a bit odd. And you still need to get it up to code. BUT...if you replace 'like with like' (carpet to carpet) the stairs can be left as-is. Ahhhh....see how that works? Right. Personally I would go shopping for carpet tiles and then match the stair carpet to the carpet tiles that also work with the vinyl on the lower level. Tying this all together will be the 'design' aspect of this job. And yes, LVP on stairs is slick...super duper slick. Finished wood (engineered or otherwise) is also slick. Super slick...which means a stair runner is needed anyway. You might as well skip the 'finish the treads' part of it and move straight to 'carpet the treads'. And just to be clear, stairs are some of the most EXPENSIVE ITEMS to refresh in the building industry. They can be thousands and thousands and thousands of dollars to refresh. If you do anything other than exchange carpet for carpet you are going to get in to the upper range of expensive. Photos of the space would certainly help.