Since he just got there as a kitten, you've still plenty of time to properly train him. If he's a bit set in his ways, well, you've just got to become robotic about reinforcing him.
As others have suggested, placing scratching posts strategically near wherever he's been scratching is smart. However, do know that once they scratch a scent is left (from those claws) and further scratching reinforces that scent (territory marking). Hence, you need to remove that scent by washing it or spraying it with one of those many products you can find while wandering pet stores. Can't think of one in particular, but you must remove that scent to prevent future scratching desires.
In the interim, whatever you decide to do, consider adding transparent tape over the material/furniture (provided it doesn't damage it too much upon removal; test it obviously). To further convince your kitty, remember that being CAUGHT spraying it with a water bottle will only train him to stop whatever he's doing when you're around. For this purpose, I, personally, prefer to wet my hands and sprinkle my cat when she's not looking by flicking my fingers in her general direction.
Oh, and keeping your kitten's nails trimmed is good as it'll reduce and scratching damage as well as get it used to getting its nails trimmed. Good luck!