Anatomy of Grey (Gray)

As you may know we are basically flipping a house right now.  Instead of flipping to sell we are flipping to move in permanently.  We sold our starter home more then 6 months ago and have been living in a metal building out in the country that belongs to my sister-in-law.  I am sure that even she didn't realize how long we were going to end up in her house.  We are officially the guests that stink for being here too long.  However, it has been good to get to know my new niece and to get to play with my nephew by simply walking out the door. However with all of our stuff in boxes, we have been borrowing living supplies.  I am hoping to see my winter shoes sometime in the near future.
First the termite held us back over a month.  But we are finally on a roll.  We finally have all the walls back up and we have begun the painting process.
It is a big undertaking for me creatively.  It seems overwhelming- it is like building a new home.  However, if I make any mistakes I know that it will cost money, but mostly our own time until we can move in.  We finished painting the front room Dovetail Grey by Sherwin Williams.  I liked the color so much that I decided to put in my laundry room also.  We finished paining that and then I was stuck wit the dilemma on what color to paint our family room.  Gray or Green?  First I never exactly know which spelling of the word Grey to use.  Second, I like color and Grey is kind of like the absence of color.  However, the grey I choose has browns, blues, and greens in it.  It looks different in different lights.  After mostly choosing the grey, a facebook survey and a confirmation from my 2 year old that she liked the grey better.  I decided to also paint my family room the Dovetail grey.  We painted the hallway Barcelona Beige and I debating currently whether or not to paint the fireplace the beige.  Currently it is a truly orangish red brick that has some water stains on it that will require quite a bit of scrubbing.  I will try to post pictures.  I will post pictures of the completed laundry room before and after so that you can see the color.  When we finish the flooring in the front room I will post pictures of that.  It is quite a process as I am sure anyone that has done home remodeling or building can tell you.  Merry Christmas would be moving into the house, but for now I will keep making decisions piece by piece one at a time.