Scratching and spraying may not be the most desirable things your kitten can do, but they are a natural part of being a cat. What you can do as the owner of a new kitten is to understand these behaviours and realise that they are not a result of your kitten misbehaving.
Scratching and stretching are essential to your kitten's well-being, and your curtains or soft furnishings are almost certain to be an easy target. Give her a scratching post from day one and it should prove to be a useful distraction from your furniture.
If your kitten doesn't seem too interested in the scratching post at first, try sprinkling a little catnip around the base. Cats can't resist its smell, so she might end up thinking the post isn't such a bad idea after all.
Spraying is perfectly natural cat behaviour and their way of marking a location with information about themselves. That said, it's not particularly desirable if done in your living room!
Before trying to solve a spraying problem, it's important to determine if your kitten is actually spraying and not just urinating. Urinating is performed while squatting; spraying is done standing up.
Take your kitten to the vet to rule out Lower Urinary Tract Disease. This treatable but potentially very serious condition could cause your kitten to urinate outside her litter box, and may be confused with spraying.
Spraying is often the behaviour of a stressed cat. Consider recent events that could have upset your kitten. These could be "big" things like the arrival of a new baby or pet, or a house move, or "little" things like the furniture having been moved around in your kitten's favourite room.
Never punish a kitten for spraying. Cats do not understand punishment. Since spraying is often a result of stress, punishment can actually make the problem worse.
Thoroughly cleaning the area that's been sprayed is vital to stopping repeat performances. Many popular household cleaning substances aren't suitable, because they contain ammonia and chlorine. Both of these are found in a cat's urine and can make spraying in the area again more tempting. Instead, wash the area with laundry detergent containing enzymes and rinse thoroughly. Then, mix a solution of 50% white vinegar and 50% water in a spray bottle and spray the area well to discourage the cat from spraying in the same place again.