What do you mean my all charges ?
I suppose you mean the charges due to excess of electrons. (Because that's what you want to transfer and the only charges that move are the electrons).
Well in that case, if you connect the two conductors, nice the uncharged conductor is at a higher potential, a current flows from the uncharged one to a charged one (equivalently, electrons from the charged conductor move to the uncharged one) and the current exists only as long as the two conductors become equipotenials (at the same potential). Well, in that case, the charges of the initially charged one are distributed among the two so that both of them are at equal potential (distribution may be nonuniform).
That's all you can do.
And if you mean positive charges in the initially charged conductor, when the connection is made with the uncharged one, electrons from the uncharged conductor move to the positively charged one to neutralise the effect and as such, the charges so distribute that both conductors are at same potential.