Never had a kitten before, but i got her from a friend of a friend for free. She is a couple weeks shy of 3 months old and is an absolute sweetheart. No accidents outside the litter box after a week, and she has even let me trim her paws!
She was 2lbs 5ozs when i got her and she is growing well. She's way less shy than when i got her and has become super curious and playful the past week.
I see you have a scratching post. Excellent! Number one mistake new cat owners make is not having somewhere for the cat to scratch (it's a physiological need for them), then they get annoyed when the cat scratches their furniture.
She's got a few scattered around the apartment, as well as some boxes. She still takes the occasional pock ay the carpet or my bedding, but nothing excessive.
I placed a scratching post next to the couch and bed so that the cat can't damage the furniture. As of the carpets, they are quite robust and cheap to replace, I'm on the same boat with you. Good thinking!