I'd like to see the floral - too bad there are no pictures. I looked up (and linked) the LLBean sofa - not convinced it's right for your room. A bit on the modern side (the lines). What does the outside of your home look like? Beautiful room, lovely color and great FP. Oh, fwiw, after two years in our home, the great room is nothing as I pictured before we moved in - it is better! Once we lived in the house awhile....and after one wrong sofa purchase - hello Goodwill - not to mention the rug that's now in a guest bedroom, it's perfect. Don't be in a rush! Here is a link that might be useful: LLBean Ultratight

I really don't think there is any way to state what looks good in all cases, categorically. As with most things, It Depends.....on your colors, your furniture, the architecture of the rooms, and not the least the two rugs themselves. I honestly cannot imagine you making a mistake in this area, Bumble, with your eye for color and shape. And in my own opinion, having one beautifully patterned rug and one jute or seagrass rarely works. It takes away from the neutral texture (practically mumbling audibly 'I'm here because I'm unimportant") and gives far too much importance to the patterned one. It also sometimes looks like the second was an afterthought or that the budget ran out.

Photos of the areas where you WANT the new wood to run...would be super helpful. Currently you have (at least) 3 different floors on the main level. If you remove the kitchen (etc) tile and add in A DIFFERENT wood floor, you will STILL have three different floors on that level. You will not have 'up-graded' your home. You will have swapped out one 'different' for another 'different'. If you MUST have a different LOOKING wood I would HIGHLY recommend finding and installing the same SPECIES of wood, in the same WIDTH and the same CUT as your dark hardwoods. And then finish them as you wish. What that does is ALLOW YOU to make a decision later on down the line to have all the wood refinished at the same time in the same finish so that you FINALLY can unite the wood floors. But...and there's always a but...you have an active 'wet' entrance with high traffic to a pool area. Wood may not be the best option (depending on how vigilant your people are). Very young children + LOTS of dripping water over LONG periods of time (a 6 year old that is standing in the kitchen waiting for their sandwich while the water pools at their feet) can damage hardwoods. This is easily dealt with by using LARGE area rugs and plenty of towels and plenty of vigilance + practice. There are many people who are FINE with wood floors in and around a pool entrance and there are many MORE people who faint dead away at the THOUGHT of water dripping on their wood floors. It's kind of a personal thing. If you must have wood, then go with the species/size/cut match and then finish it in your choice of colour. Before putting the house up for sale you can have all the wood refinished in a unifying colour = continuous floor = UP GRADE to what you have right now.

I vote for cloud white everywhere. Or pick a different white (I was originally torn between those two but likely going with snowfall white). There'll be a trim transition somewhere that's awkward, plus I'd be concerned about clashing undertones and having two touchup paints to keep track of.