Uday had kept the big cats at his own private "zoo" in his Baghdad palace. But they were found neglected and living in terrible conditions after the war in Iraq ended.
Bear to see again
US troops who have based themselves at the palace have been looking after them ever since.
They were hoping Baghdad Zoo would be able to give them a home. But they can't afford to look after the creatures.
And now they need to roam free in more open spaces.
They will need to get fit, says an expert from SanWild Wildlife, one of the game parks.
But they should recover well and will be able to pick up the knack of hunting again very easily.
Another of Uday's animals, a blind brown bear, is going to be helped by a kind South African vet. He has offered to operate on the bear's cataract so she can see again.
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