Typicall at school we use a router table for a lot of this work (the kiddees can't set a spinning router on a table top or snag their navel on it that way).
I tell my students (it's a router table now) to feed from the right to left on the front side of the cutter. You want to feed into the direction the cutter is turning.
If you feed it the other direction, it's going to want to throw your board to the right. If you are using a hand held router, your router will want to "run" down your board ripping the daylights out of everything.