1) Does the kitty litter stink up the house? I'm a little bit of a neat freak, and I've never owned a four-legged pet. I feel like most dog owners say that their dog doesn't smell, but they've just gotten used to it, and when you go to their house, it definitely smells. So I'd like to ask this more to cat owners who never had a pet before and are kind of neat freaks.
Not if you maintain the cat box in a clean condition. Invest in a litter locker and good scoopable litter and you will not have a problem.
2) What are the worst problems you've run into with a new four-legged pet?
My 12 year old male cat randomly decided to start spraying around the house one day. That really stinks. Literally and figuratively. I love the little guy, but his new habit may result in him losing his home.
3) What's the approximate monthly cost that a cat runs up in your experience?
I have 2 cats, and we spend about $30/month total for cat food, litter, and few toys. Initial cost will be higher because you will need to buy necessaries, i.e., a litter box, scratching post, etc.
Good luck. Cats can be great pets.