After seeking the advice of a home improvement professional (Thanks, Terry) we bought a blade made for cutting tile that we could use with our Dremmel Tool. This made it much easier to make the cuts we needed and about an hour and a half later, we were back in business and ready to grout.
I lobbied hard for a color of grout named Bone but in the end we chose Alabaster.
It was supposed to be a pale gray that I thought was going to look really nice given we have black granite countertops, maple cabinets and a wall colored aptly named Cream in My Coffee.
We followed the directions on the back of the box and got to work spreading the grout over the tiles with a rubber float. Just a side note as we were spreading the grout over the tiles we kept the rubber float at a 45 degree angle.
Then we sealed the edges of the backsplash with caulk and put the electrical outlet covers on.