I would also suggest nail trimming. The rule in my house is that if someone uses their claws inappropriately (on furniture, me, whatever) then it's time for a nail trim. If you're not sure how to do it, have your vet show you how to do it properly. You need to be very careful. If you trim a nail too short and hit the quick it's very painful for your cat and it will bleed, maybe a lot. As I said, have a vet show you how to do it if you don't already know how.

You do NOT want this to be a traumatic experience. This is not a punishment. It's just a consequence of using their claws when they shouldn't. If you do it right, it is not painful for them but they do not enjoy the feeling of having short nails without points. I think it just feels weird to them. They will spend a lot of time afterwards at the scratching post working on resharpening them. If you promptly trim the nails after they misbehave, they will associate the two experiences and stop clawing inappropriately.

Also, you might want to give them a treat immediately afterward to console them, if they are food motivated. After several years now, my cats will actually line up to get their nails clipped because they want the treat.