A coop is just a shed with nests, roosts, ventilation, and a pop door. You can make it as pretty as you want, the chickens won't care. If you go to the "Articles" tab at the top of this page and look under "Chicken Coops" you can get all kinds of plans and ideas.
Much inexpensive building materials typically come in 4' and 8' dimensions. If you incorporate those in your design you can usually eliminate a lot of cutting and waste.
For six hens in Virginia, I'd look at a 4' x 8' coop. I personally like a walk-in coop so I'd make the front side with the human door 8' tall. Make the back 6-1/2' tall so the roof has a good slope. Make the roof 6-1/2' also so you can have enough overhang front and back to put ventilation under the overhang and keep rain out. Use the cut-offs to make nests.
You have a lot of different options for the run, depending on how predator proof you want it. If you want it fully predator proof put an 8' x 8' run on the front of the coop so when you open the human door they can't escape. Maybe rip 8' 2x4's so you get 2x2's to build it. I can't think of anything easier or more basic. With paint and gingerbread trim you can make it look really fancy.