All three of our cats are rescues. All of them are declawed. They are *strictly* housecats. No way would we have declawed any of them if they saw the light of day.
Our first one was from the Humane Society. He was already neutered and declawed when we adopted him. He was a "return"!

He's a little strange, but that's just his personality. He's very loving and he groomed both of our other cats from kittenhood.
We had a hard time deciding whether or not to declaw the next cat we took in. He was a stray, found under a porch with a bunch of other kittens. Same scenario with our third (and last!) kitten.
In the end, we decided that we wanted to keep our furniture intact. Also, since our first cat was declawed, the new cats could have done some real damage with their claws. Finally, our (already declawed) cat was fine. He had a great demeanor, which eased our concerns.
It may seem to be a selfish decision, but the reality is that they are our property. If it wasn't for us, they'd most likely be dead at the side of the road or cremated. That is the stark reality of the situation.
Anyhow, there are two processes they use for declawing. One is the standard (and most painful) way. The little guys came home with bandages on their paws. They also will have stitches that dissolve over a period of a couple of weeks.
The other is laser surgery. We simply couldn't afford the laser or we'd have done that. It was 3x or 4x as costly as the traditional method, but obviously preferred if money is no object.
Some people claim that there are drastic personality changes, horror stories of cats that have their paws infected, etc. Our cats experienced none of those issues. They are all loving animals. If you follow the simple rules that the vet gives (watch for bleeding, use newspaper for a week or so instead of litter, etc.), chances are they will be fine.