lankylefty, if you haven't already figured this out, a couple options are creating switch layers for the eyes, or if your version is new enough you can create an action and link that to a bone with smart bones. There are several tutorials online just look up smart bones, the better ones cover this.

I have the same problem! It doesn't even show the 'bind points' button either along the top of the work area, or under the Bone section on the left, the bind points button is dark, as in, unavailable. However, when the sample animation that pops up when I open the program, the bind points button on ...