Rabbits will more often then not Eat their babies if they become nervous,
I sometimes think the female rabbit believes she is protecting the young by eating it.
Moving them in most cases is a sure death sentence to the young,
The best thing to do is leave it be, make sure its well covered for warmth,
But try not to upset the mum,
If your Rabbit is well use to you and trusts you, then you'd have better luck.
Of the hundreds of rabbits I raised I only ever had one that would let me mess with her babies and not kill them... some would allow me a quick peek, others just killed them within minutes of my touching.
Just touching the babies and the mumma smelling it can sometimes be enough for them to kill and eat them, (if you must touch try not to let the mum see you & then cross your fingers,) A few times they will just abandon the young,
But the main trait is eating the young.
You might get lucky moving her and the baby, But the greater odds are against it,
Also, I don't know where you live, but, I live in Nova Scotia Canada and it's not to cold for newborn baby rabbits to remain outside, (so long as they are covered and out of the direct elements,) A nest box with lots of mumma's neck hair, to make a soft warm bed. The mumma rabbit does this naturally.
Give the mumma lots of hay or pulled grass, She'll sometimes add this to the thickness of her nest bed, which in turn helps keep the baby protected better
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