What Jaz said...
Hey - your comment, "The flooring is going to slide under the white casing that you see..." caught my eye.
Are you sure that's going to work? It looks like that edge of the laminate will be "coming down". Do you have that much movement in your floor, so that you can slide the entire thing that way?
Usually the floor moulding and/or quarter-round toe-kick are installed after the laminate flooring.