Oh, Dawn, I am so sorry to hear this. Is there someone in your family who could take one of the other dogs? You might be able to get away with having THREE, one being much easier to conceal than three!
If not, can you possibly move? I know that's drastic, but if you would have to let your babies go otherwise ...
Sorry I don't have any good answers for you. And it really sucks that this all comes down on your birthday. That just shouldn't be allowed!!!!!
I pray that a special present comes your way in the form of a really good solution!