That's a lot of wallpaper! I don't envy you this job! Hint: stain remover ("Shout" for example) will disolve glue proteins and make it easier to remove. It peels off -- ideally. Then sponge off the remaining blue.

Don't try to match wall colors to wood other than to avoid glaring mismatching. But you do need to decide on a color scheme, based on furniture, carpets, accessories you already own or plan to purchase. Buy paint samples once you think you know what you want and paint a patch on the wall (about 1 ft. square) in sunlight, artificial light and shadow. This is not a fast process unless you have a really good eye for color. I've never found those little 2"x2" paint chips tell me anything, and store lighting is definitely misleading.

Once you've stared at the paint patches enough to decide "this one is too yellow, that one is too pink," you'll choose. Since you're tearing off the wallpaper, you can paint on top of that.

With cherry kitchen cabs, you might choose a cool color like gray, greige, blue (navy maybe?), sage. If you choose yellow tones, you may make the cherry cabinets look either sick or more "pink." The floors appear to be light-toned without overt reds so that will influence color coordination.

Without seeing your furniture and accessories, it's hard to suggest colors and you may have a particular love of some color you're just dying to use (lime? copper? cobalt? silvery taupe? chocolate?). Also, your decorating style, what "atmosphere" you want to project, will all be influenced by and determine workable colors. Post more photos once the rooms are cleared out, with intended purpose and an idea of your furniture/rugs/art, etc. You'll get more advice than you can use!