Hi and welcome to PT. I'm so sorry to hear that the vet declawed her and that he did it to all four of her paws. I don't know much about cats that have all four paws declawed but I have had one of my cats front paws declawed before and this was before I knew any better and I would never do it again.
He was able to climb and jump up on things and he lived with two other cats that had all of their claws without any problems. He was a big cat and looked like he had Maine Coon in him but I did notice that when he tried doing certain things that he was clumpsy and he'd fall easily. I had him declawed when he was still a young kitten so maybe this is why he adapted fairly well. I've heard older cats might not adapt as well. I'm sure that there may be some other people on this site that may have some experience with a cat that's been totally declawed so they'll be able to help you out more.

When I was growing up my insisted that our cat be declawed on her front paws. She was also an indoor/outdoor cat and she was still able to climb trees. I don't think that she even knew that she didn't have her front claws.