Richi007 -> I've tried before to do, as you said. But, that way, only first frame is at the right position, all next frames still do have different origin from the first (changed) one. Don't know why that happens...

jane -> I can't really get what you mean by default frame... Me, I mean by default frame, when Animate key is not turned on. So you aren't able to animate model at all, and bones are separated from vertexes. The second thing is, that in default (frame or position) origin is in the middle of the model, so there is no need to Center model global, there is no sense... While animating, I'm not able to transform it global

I have no ideas left, how to deal with this all...