Looking for helpful hints to help deal with cats claws

I recently adopted a full grown neutered male cat from the local shelter, only realizing after I adopted him that had I not adopted him when I did he would have probably been euthanized. I'm so lucky to have found my kitty when I did!

My only issue with him is his claws. I do NOT want to declaw him as I know just how painful that can be for them and how it leaves a poor kitty defenseless if he ever needs to defend himself, so my question is... what other options do I have?

Do any of you trim your cat's claws? Is it difficult? Are there any tips you can give me? How about other ways to manage them?

My kitty isn't scratching people but at times is scratching at my furniture and other things. I do have children who adore him and I do worry about his razor sharp claws with them sometimes. Any hints, tips, or advice would be really appreciated.