They may look like harmless fluff balls but by the time they're fully grown these predators could have an 80 inch wingspan and an appetite for animals as big as foxes.
Holly Cale from the centre says the buzzard eagle eggs were taken from the parent birds because they were laid too early. Once temperatures warm up a bit the chicks will be introduced to the parents who will rear them.
Our reporter Ken Goodwin went to take a look.
More top news
Rugby World Cup winner Phil Vickery talks about his World Cupexperiences and what he hopes this year's tournament will do for the game.
Rugby fans are eagerly awaiting the start of the Rugby World Cup but it's not just sports enthusiasts who will benefit this autumn.
The last pilots to train on Lynx and Sea King helicopters in Somerset have taken part in a parade in front of some special guests.