It's fine to give them the whole bale at once. It is completely interchangeable and substituteable with hay and straw as it is the same type of feed. You only need to introduce a new feed gradually if it is something completely different and the animal therefore takes a while to develop the different bacteria necessary for digestion. Therefore if you were adding say roots, or cereals then you would need to start feeding with small amounts until the animal ha adapted to it.
It is unlikely to have the same effect as young spring grass because it is normally made from a more mature crop, and it has been dried. So it has lower energy and more fibre and does not usually cause "the runs".