The carpet tile idea is brilliant -- many thanks Mushypeace.
My one year old cat is a very bolshie Siberian whose jumping prowess is amazing. She liked anything upholstered as a scratching post but ignored the wood furniture, tables and dining room chairs. I used a spray bottle of water to train her not to scratch. I have an old step ladder that I covered in twine and rope of varying thickness with a hot glue gun, with different materials on the steps including a few layers of sandpaper that I stapled to it with a wood stapler, and she loves giving all of that the once over with the claws. My previous cat was very hard on carpeting and rugs. No carpet or rugs here so no problem like that.
She climbs everything, so the fabric shower curtain has several pulled threads (what a surprise to see her head appearing over the shower rail), and I have had to take a lot of framed photos off bookshelves. She also jumps after roller blinds as they go up. She digs in pot pourri and large indoor plant pots. Loves water (apart from water sprayed at her), so I have to water the plants when she's in another room, or else she tries to poke the water as it soaks into the clay. I covered the Christmas tree water last year, but the main problem with her and the tree was batting at baubles and climbing into the tree. If you have ornaments that have any sentimental value, maybe keep them aside until your cat is a bit older and more sedate.
I have had to barricade a few chests of drawers in the DDs' rooms and also the diningroom sideboard as she kept getting up and amusing herself by knocking things off. She chirps as they hit the floor. If I go out I leave coins on windowsills and the coffee table so she can while away her time harmlessly. I also have a huge stock of ping pong balls, which she loves batting around the wood floors. She has a stash of treasures that she keeps in various boxes
and will sometimes bat them around inside the boxes. We also find many little presents left in our shoes and wellies. She loves plastic bags and likes to lick them and carry them around. I cut the handles to prevent her choking, and tie the bags in a knot.
No problems with pooing and peeing in the wrong place after an initial few days of anxiety on everyone's part including the kitten's. She settled on one particular corner so we put her litter box there and thoroughly cleaned and disinfected the other places she had tried out.
Check if your house plants are on this list.