Mine who has just turned over a year a couple of weeks ago, started out like this and was a leg and arm shredder, however now she has grown and had squirts of the water bottle and only needs to see it to retreat if play is getting too feisty, i also trim the tips of her nails,
she now gets outside for a while as she has had her operation and its safe (ish) around here to explore and cats will be cats -
she has a ton of toys too, she loved cardboard at that size to shred to bits however remember it will sharpen nails within a day or 2 again
scheduled playtimes - should add here that playtime is energetic and designed to wear her out, current favourite is laser chasing - im using a infrared thermometer gun type from ebay as easy for me to hold for long periods, cat slids all around the floors
Something i found helpful for me, not exactly in relation to shredding but as you say in relation to bedtime was putting her into a cat carrier, with her teddy bear, after her bedtime routine (wet food, playtime, teeth, cuddle) and into carrier and lights out, towel over most of carrier and carrier faced away from any light
The first night or 2 i had her i did most of this, she whimpered thru the night, i wanted to peek at her but i didnt as i knew she was safe and would be training me to check on her and after a few nights, she was asleep within 30 mins of going in, at 3-4 months old she would put herself to bed and the cat carrier isnt scary for vet trips either so i recommend it to be out in any house as a safe place for kittens
Cats love routine, around November i reduced the amount of food mine gets but spread it out better for her so she wouldnt miss out, so a certain alarm, went off on my phone (rooster alarm) and cat would run to her bowls from m-f she was dispensed wet food and dry at weekends as well as treats when needed, she had water available at all times but the dry has become like getting hippy crack - best thing ever, when before that, wee madam was turning her nose up
She is currently ignoring cat carrier and sleeping in a cardboard box, and shredding the life out of one of the inner flaps, there is hope op, it will take time
in the meantime, wear her out with several play sessions a day, 15-20 mins a time for 4+ sessions, this would be good task for children to do as its part and parcel of pet care but depending on child age, they have to do litter tray as well,
dont do like my friends mum did, she actually didnt realiase in the case of the dog that her mum lifted the poop, she thought there was someone who did that, ie not the dog owner