I'm in agreement with iamjudy and lgstacey in picking only 3 colors, to bring through the house ( neutral) You can then introduce the other colors in your accessories( art, rugs, pillows, etc.) You want to create a space that will carry you through many years of joy. When we design with too many colors, I find we tire of them quickly!
Use of too many colors
Advice on rugs purchase then paint
I'm thinking Wheat Penny would be your wood furniture color. Use Nantucket Dune and any of the other shades found on its color strip card to work throughout the home. Darker tones from the card in naturally well lighted spaces, mid-tones where there is average light, and the lighter ones in hallways, baths, closets. You can even take the lightest shade on the card, cut it with as much as 50% white and put it on the ceiling. Do you have a tray ceiling in any of the rooms? That is where I'd put the Poolhouse. It would be especially pretty for a dining room or master bedroom. I'm not into accent walls unless you have a very large space or a very small one, and neither should have windows or doors piercing them. I could see it behind the bed in the master, and I do like an accent on a FP wall sometimes but usually it would just be the darkest shade on the Dune color strip card. The four colors on the upper right side would be great for your upholstered items, rugs, drapes and accessories, and the Manchester Tea would work for all woodwork, cabinetry, trim, doors, etc. It is a warm and comforting palette, and I think, applied not only as paint, but as the other items I listed, it will be a very nice home.
Info about the amount of light in a room in relation to shades of color
Are you relocating to a southwest area? Or, are you wanting to do a southwest theme elsewhere. I ask because the southwest natural light has a very different affect on colors than natural light elsewhere in the US. They are very vibrant and clean. The further away from the sun, the more "drab" the colors become. As a starting point, look at the traditional Mexican Talavera pottery. The combination of colors is extraordinary and it should help to get your creative juices flowing.
Southwestern style has a lot of color in it. Most of it is in the accents. The main color in most spaces is a desert sand type feel. I would paint your wall a nice desert color with a little orange tint and then paint your cabinet and picture frames a turquoise color: This is going to make your space feel like a theme if that's the goal you are wanting.