Let's assume you are shooting off the shelf (if not, let me know and I will expand the answer). The first thing you have to do is to check the centershot. To do this, find some place, like the tailgate of a truck, where you can prop the bow up, with an arrow on the string, and stand behind the bow and sight down the arrow. Usually, there are some markings on the bow that indicate the centerline of the bow. If not, you can put a piece of masking tape or something on the limbs and mark where the center is.
Closing one eye, move your head back and forth until the string seems to bisect the centerline of the bow. Without moving your head, notice whether the point of the arrow is inside or outside of the centerline of the bow. If the point of the arrow is outside of the centerline of the bow, you're fine. If the point of the arrow is inside the centerline of the bow, then you need to build out the strikeplate until it is outside.
(This is much easier to do than to explain)
The only other thing you need to do when switching to skinny arrows is to check your nock height. Usually, people do this by shooting a bare shaft. If the bare shaft flies straight, then you're fine. If not, you may need to move your nock indicator down a tad until it does (assuming it was flying straight before you made the change to skinny arrows).