Ahh that old chestnut ( /me nods head sagely)
Lightwave is trying to smooth the motion of your objects, so what you will find is that as soon as you add the final keyframes, the motion curves will change somewhat (so you'll probably get some overshoot through the frames).
Go into the graph editor, and open the motion curves for your objects. Where you want them to be still, set the incoming/outgoing curves to 'linear'. This should prevent the overshoot and still the object.
Sorry I can't explain this any better, but I'm currently at work and don't have a copy of Lightwave anywhere near me.
Hope this helps...