There is a device at pet store that is called the Furminator, works really well to keep a kitty clean. I have run a slicker over my cats and then De-furminated them and there is a huge bunch of fur still left. I advice doing it outside if possible.
I don't want to start an "issue" but declawing a cat is not like having your fingernails cut, it's more like having your fingers cut at the first joint. I feel very sorry for kitties that have had this done. They have no defenses so I've seen them develop bad biting habits since it's the only way they have of protecting themselves. I hope you will consider not doing it to your new kitty.