One thing with a 10" overhang is that you're not saving aisle space because stool legs splay wider than the seats for stability. Your real usable aisle space is from the stool feet over, regardless of whether they're covered by counter or not. On the plus side, maybe you might as well create an overhang generous enough to tuck them all the way under? It'd not only be more comfortable but look a lot better and be safer. Of course, it also means you need to choose and measure stools before making your decision. These tradeoffs are all very personal decisions, but, knowing how much even shallow storage holds, mine would be to look to the cabinets for the extra inches needed to make this work. I purchased ready-made Ikea 12" drawers for the top row of a line of 12" deep bottoms, with shelves below, so I would imagine drawer and sliding shelf mechanisms are available in a number of depths. If needed, I'd also plan storage for the Christmas dishes and the 3-element slow cooker used maybe twice a year, or whatever as needed, somewhere else in the house. This post was edited by rosie on Wed, Jun 5, 13 at 8:13

The plywood sides you added are going to be in the way of a European hinge working. If you shop online for concealed hinges, every product is going to have a diagram showing the relationship of the door to the cabinet box or faceframe. Not ever one is capable of envisioning the relationships in their head. Using the original hinge is going to save a lot of time and trial & error until you figure it out (or realize it's impossible to do). Might help to see the door, see the edge detail, see how it fits the opening. Casey

Cabinets are permanently installed built in obstacles. All floating floors should go around built ins, with an expansion gap, not under them. Only permanently fastened floors like wood or tile go under cabinets. The cabinets themselves need to be shimmed to the finished floor height, as that finished floor is the basis of all room measurements.

I have KCD premium white shaker and love them. Excellent quality. You can find them online, and have them installed by a cabinet company, which is 10-15k less than was bid by one of their distributors.